Cranston, Michael; Mountford, Thomas A new proof of the Erdős-Kac central limit theorem. (English) Zbl 07789123 Trans. Am. Math. Soc. 377, No. 2, 1475-1503 (2024). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11N64 11K65 60F05 PDFBibTeX XMLCite \textit{M. Cranston} and \textit{T. Mountford}, Trans. Am. Math. Soc. 377, No. 2, 1475--1503 (2024; Zbl 07789123) Full Text: DOI
Mkaouar, Mohamed Beatty sequences and prime numbers with restrictions on strongly \(q\)-additive functions. (English) Zbl 1399.11035 Period. Math. Hung. 72, No. 2, 139-150 (2016). MSC: 11A63 11B83 11L03 11N05 11N60 PDFBibTeX XMLCite \textit{M. Mkaouar}, Period. Math. Hung. 72, No. 2, 139--150 (2016; Zbl 1399.11035) Full Text: DOI
de la Bretèche, Régis; Tenenbaum, Gérald On the friable Turán-Kubilius inequality. (Sur l’inégalité de Turán-Kubilius friable.) (French. English summary) Zbl 1346.11050 J. Lond. Math. Soc., II. Ser. 93, No. 1, 175-193 (2016). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11N60 11N37 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{G. Tenenbaum}, J. Lond. Math. Soc., II. Ser. 93, No. 1, 175--193 (2016; Zbl 1346.11050) Full Text: DOI
del Campo, Ricardo; Fernández, Antonio; Mayoral, Fernando; Naranjo, Francisco Reflexivity of function spaces associated to a \(\sigma\)-finite vector measure. (English) Zbl 1350.46023 J. Math. Anal. Appl. 438, No. 1, 339-350 (2016). Reviewer: Enrique Alfonso Sánchez-Pérez (València) MSC: 46E30 46B42 46B70 46G10 PDFBibTeX XMLCite \textit{R. del Campo} et al., J. Math. Anal. Appl. 438, No. 1, 339--350 (2016; Zbl 1350.46023) Full Text: DOI
Bernardi, Claudio About the region below the graph of a function. (English) Zbl 1331.54020 Boll. Unione Mat. Ital. 8, No. 1, 1-8 (2015). Reviewer: Chanchal Kumar Basu (Kolkata) MSC: 54D05 26A30 54G99 97I20 PDFBibTeX XMLCite \textit{C. Bernardi}, Boll. Unione Mat. Ital. 8, No. 1, 1--8 (2015; Zbl 1331.54020) Full Text: DOI
del Campo, Ricardo; Fernández, Antonio; Mayoral, Fernando; Naranjo, Francisco A note on real interpolation of \(L^p\)-spaces of vector measures on \(\delta\)-rings. (English) Zbl 1309.46007 J. Math. Anal. Appl. 419, No. 2, 995-1003 (2014). Reviewer: Enrique Alfonso Sánchez-Pérez (València) MSC: 46B70 46E30 46G10 46B28 PDFBibTeX XMLCite \textit{R. del Campo} et al., J. Math. Anal. Appl. 419, No. 2, 995--1003 (2014; Zbl 1309.46007) Full Text: DOI
Cavaliere, Paola; de Lucia, Paolo; Weber, Hans Approximation of finitely additive functions with values in topological groups. (English) Zbl 1281.28007 Z. Anal. Anwend. 32, No. 4, 477-495 (2013). Reviewer: Surjit Singh Khurana (Iowa City) MSC: 28B10 28A33 22A05 PDFBibTeX XMLCite \textit{P. Cavaliere} et al., Z. Anal. Anwend. 32, No. 4, 477--495 (2013; Zbl 1281.28007) Full Text: DOI
De Koninck, J.-M.; Kátai, I. The distribution of additive functions in short intervals on the set of Shifted integers having a fixed number of prime factors. (English) Zbl 1274.11008 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 57-70 (2012). MSC: 11A25 11N56 PDFBibTeX XMLCite \textit{J. M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 57--70 (2012; Zbl 1274.11008)
Šiaulys, Jonas; Stepanauskas, Gediminas Discrete uniform limit law for additive prime number indicators. (English) Zbl 1365.11112 Laurinčikas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the 5th international conference in honour of J. Kubilius, Palanga, Lithuania, September 4–10, 2011. Vilnius: TEV (ISBN 978-609-433-178-7/hbk). 255-263 (2012). MSC: 11N60 11K65 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, in: Analytic and probabilistic methods in number theory. Proceedings of the 5th international conference in honour of J. Kubilius, Palanga, Lithuania, September 4--10, 2011. Vilnius: TEV. 255--263 (2012; Zbl 1365.11112)
Nowak, Marian Vector measures and Mackey topologies. (English) Zbl 1247.46035 Indag. Math., New Ser. 23, No. 1-2, 113-122 (2012). Reviewer: Enrique Alfonso Sánchez-Pérez (València) MSC: 46G10 46E10 46A70 46A32 PDFBibTeX XMLCite \textit{M. Nowak}, Indag. Math., New Ser. 23, No. 1--2, 113--122 (2012; Zbl 1247.46035) Full Text: DOI
Natkaniec, Tomasz Covering an additive function by \(< \mathfrak c\)-many continuous functions. (English) Zbl 1235.26004 J. Math. Anal. Appl. 387, No. 2, 741-745 (2012). Reviewer: Szymon Glab (Łódź) MSC: 26A15 03E17 03E35 PDFBibTeX XMLCite \textit{T. Natkaniec}, J. Math. Anal. Appl. 387, No. 2, 741--745 (2012; Zbl 1235.26004) Full Text: DOI
Natkaniec, Tomasz On additive countably continuous functions. (English) Zbl 1274.26007 Publ. Math. Debr. 79, No. 1-2, 1-6 (2011). MSC: 26A15 26A30 PDFBibTeX XMLCite \textit{T. Natkaniec}, Publ. Math. Debr. 79, No. 1--2, 1--6 (2011; Zbl 1274.26007) Full Text: DOI
Berkes, István; Müller, Wolfgang; Weber, Michel On the strong law of large numbers and additive functions. (English) Zbl 1240.60055 Period. Math. Hung. 62, No. 1, 1-12 (2011). Reviewer: Marius Iosifescu (Bucharest) MSC: 60F15 11A25 PDFBibTeX XMLCite \textit{I. Berkes} et al., Period. Math. Hung. 62, No. 1, 1--12 (2011; Zbl 1240.60055) Full Text: DOI
Kochanek, Tomasz Corrigendum to “Stability aspects of arithmetic functions. II”. (English) Zbl 1222.11101 Acta Arith. 149, No. 1, 83-98 (2011). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N64 39B82 PDFBibTeX XMLCite \textit{T. Kochanek}, Acta Arith. 149, No. 1, 83--98 (2011; Zbl 1222.11101) Full Text: DOI
Fukuyama, Katusi; Komatsu, Yutaka A law of large numbers for arithmetic functions. (English) Zbl 1155.60011 Proc. Am. Math. Soc. 137, No. 1, 349-352 (2009). MSC: 60F15 11A25 60G50 PDFBibTeX XMLCite \textit{K. Fukuyama} and \textit{Y. Komatsu}, Proc. Am. Math. Soc. 137, No. 1, 349--352 (2009; Zbl 1155.60011) Full Text: DOI
Šiaulys, J.; Mačiulis, A. Bounds for the local distance between arithmetical distributions. (English) Zbl 1194.11082 Acta Appl. Math. 97, No. 1-3, 261-267 (2007). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11K65 11N37 60B10 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{A. Mačiulis}, Acta Appl. Math. 97, No. 1--3, 261--267 (2007; Zbl 1194.11082) Full Text: DOI
Berkes, István; Weber, Michel A law of the iterated logarithm for arithmetic functions. (English) Zbl 1122.60030 Proc. Am. Math. Soc. 135, No. 4, 1223-1232 (2007). Reviewer: Peter Becker-Kern (Dortmund) MSC: 60F15 11A25 60G50 PDFBibTeX XMLCite \textit{I. Berkes} and \textit{M. Weber}, Proc. Am. Math. Soc. 135, No. 4, 1223--1232 (2007; Zbl 1122.60030) Full Text: DOI
Šiaulys, Jonas The joint limit theorem for distributions of integer valued additive functions. (English) Zbl 1131.11053 Šiauliai Math. Semin. 1(9), 99-111 (2006). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11K65 PDFBibTeX XMLCite \textit{J. Šiaulys}, Šiauliai Math. Semin. 1(9), 99--111 (2006; Zbl 1131.11053)
Šiaulys, Jonas On limit distributions of integer valued additive functions. (English) Zbl 1108.11056 Fiz. Mat. Fak. Moksl. Semin. Darb. 7, 103-114 (2004). Reviewer: Eira J. Scourfield (Egham) MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{J. Šiaulys}, Fiz. Mat. Fak. Moksl. Semin. Darb. 7, 103--114 (2004; Zbl 1108.11056)
Nasyrov, F. S. Function decompositions related to the Luzin N-property. (Russian, English) Zbl 1054.26004 Sib. Mat. Zh. 45, No. 1, 178-188 (2004); translation in Sib. Math. J. 45, No. 1, 146-154 (2004). Reviewer: N. A. Kudryavtseva (Novosibirsk) MSC: 26A15 60J55 PDFBibTeX XMLCite \textit{F. S. Nasyrov}, Sib. Mat. Zh. 45, No. 1, 178--188 (2004; Zbl 1054.26004); translation in Sib. Math. J. 45, No. 1, 146--154 (2004) Full Text: EuDML EMIS
Šiaulys, J. Additive functions with asymptotically finite supports. (English) Zbl 1038.11051 Acta Appl. Math. 79, No. 1-2, 129-135 (2003). Reviewer: J. Galambos (Philadelphia) MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{J. Šiaulys}, Acta Appl. Math. 79, No. 1--2, 129--135 (2003; Zbl 1038.11051) Full Text: DOI
Šiaulys, Jonas The convergence to the Poisson law in number theory. (English) Zbl 1048.11063 Fiz. Mat. Fak. Moksl. Semin. Darb. 5, 108-114 (2002). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11K65 PDFBibTeX XMLCite \textit{J. Šiaulys}, Fiz. Mat. Fak. Moksl. Semin. Darb. 5, 108--114 (2002; Zbl 1048.11063)
Steiner, Wolfgang On the joint distribution of \(q\)-additive functions of polynomial sequences. (English) Zbl 1036.11046 Theory Stoch. Process. 8(24), No. 3-4, 336-357 (2002). Reviewer: R. E. Maiboroda (Kyïv) MSC: 11N60 60F05 11K65 PDFBibTeX XMLCite \textit{W. Steiner}, Theory Stoch. Process. 8(24), No. 3--4, 336--357 (2002; Zbl 1036.11046)
Šiaulys, J. On the separation of distributions of additive functions. (English) Zbl 1192.11067 Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the third international conference in honour of J. Kubilius, Palanga, Lithuania, September 24–28, 2001. Vilnius: TEV (ISBN 9955-491-30-2/hbk). 297-302 (2002). Reviewer: Filip Saidak (Greensboro) MSC: 11N60 11K65 PDFBibTeX XMLCite \textit{J. Šiaulys}, in: Analytic and probabilistic methods in number theory. Proceedings of the third international conference in honour of J. Kubilius, Palanga, Lithuania, September 24--28, 2001. Vilnius: TEV. 297--302 (2002; Zbl 1192.11067)
Martellotti, Anna Finitely additive phenomena. (English) Zbl 1012.28001 Rend. Ist. Mat. Univ. Trieste 33, No. 1-2, 201-249 (2001). Reviewer: John W.Hagood (Flagstaff) MSC: 28-01 28A12 28A15 28A25 28B05 28B10 28B15 PDFBibTeX XMLCite \textit{A. Martellotti}, Rend. Ist. Mat. Univ. Trieste 33, No. 1--2, 201--249 (2001; Zbl 1012.28001)
Vlad, Carmen D. Normal characterizations of lattices. (English) Zbl 0995.28001 Int. J. Math. Math. Sci. 28, No. 10, 561-570 (2001). MSC: 28A12 28C15 06B30 PDFBibTeX XMLCite \textit{C. D. Vlad}, Int. J. Math. Math. Sci. 28, No. 10, 561--570 (2001; Zbl 0995.28001) Full Text: DOI EuDML Link
Nowik, Andrzej; Weiss, Tomasz The algebraic sum of a set of strong measure zero and a perfectly meager set revisited. (English) Zbl 0976.03055 East-West J. Math. 2, No. 2, 191-194 (2000). Reviewer: Alberto Marcone (Udine) MSC: 03E35 03E20 28E15 PDFBibTeX XMLCite \textit{A. Nowik} and \textit{T. Weiss}, East-West J. Math. 2, No. 2, 191--194 (2000; Zbl 0976.03055)
Bareikis, G.; Indlekofer, K.-H. Multiplicative processes in short intervals. (English) Zbl 0956.11017 Lith. Math. J. 39, No. 2, 146-156 (1999) and Liet. Mat. Rink. 39, No. 2, 185-199 (1999). Reviewer: Štefan Porubský (Praha) MSC: 11K65 60F17 60G99 PDFBibTeX XMLCite \textit{G. Bareikis} and \textit{K. H. Indlekofer}, Lith. Math. J. 39, No. 2, 146--156 (1999) and Liet. Mat. Rink. 39, No. 2, 185--199 (1999; Zbl 0956.11017) Full Text: DOI
Mačiulis, A. Some estimates in the \(L_p\) metric in the central limit theorem for additive functions. (English. Russian original) Zbl 0949.11038 Lith. Math. J. 39, No. 1, 58-63 (1999); translation from Liet. Mat. Rink. 39, No. 1, 74-80 (1999). Reviewer: Wolfgang Schwarz (Frankfurt am Main) MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{A. Mačiulis}, Lith. Math. J. 39, No. 1, 58--63 (1999; Zbl 0949.11038); translation from Liet. Mat. Rink. 39, No. 1, 74--80 (1999) Full Text: DOI
Kubilius, Jonas On some results in probabilistic number theory. (English) Zbl 0979.11039 Acta Appl. Math. 58, No. 1-3, 175-188 (1999). Reviewer: Eira J.Scourfield (Egham) MSC: 11K65 11-02 PDFBibTeX XMLCite \textit{J. Kubilius}, Acta Appl. Math. 58, No. 1--3, 175--188 (1999; Zbl 0979.11039) Full Text: DOI
Mačiulis, A. A non-uniform estimate in the central limit theorem for sequences of strongly additive functions. (English) Zbl 0940.11030 Ramanujan J. 3, No. 4, 389-404 (1999). Reviewer: Wolfgang Schwarz (Frankfurt am Main) MSC: 11K65 11N37 60F05 11N60 PDFBibTeX XMLCite \textit{A. Mačiulis}, Ramanujan J. 3, No. 4, 389--404 (1999; Zbl 0940.11030) Full Text: DOI
Isidori, M. C.; Martellotti, A.; Sambucini, A. R. The monotone integral. (English) Zbl 0922.28009 Atti Semin. Mat. Fis. Univ. Modena 46, Suppl., 803-825 (1998). Reviewer: J.W.Hagood (Flagstaff) MSC: 28B05 PDFBibTeX XMLCite \textit{M. C. Isidori} et al., Atti Semin. Mat. Fis. Univ. Modena 46, 803--825 (1998; Zbl 0922.28009)
Toshimitsu, Takeshi Strongly \(q\)-additive functions and algebraic independence. (English) Zbl 0906.11036 Tokyo J. Math. 21, No. 1, 107-113 (1998). Reviewer: J.H.Loxton (North Ryde) MSC: 11J85 11A63 11K65 PDFBibTeX XMLCite \textit{T. Toshimitsu}, Tokyo J. Math. 21, No. 1, 107--113 (1998; Zbl 0906.11036) Full Text: DOI
Li, Guocheng; Xue, Xiaoping Extension theorems of set-valued measures. (Chinese. English summary) Zbl 0865.28007 Pure Appl. Math. 12, No. 2, 6-11 (1996). MSC: 28B20 PDFBibTeX XMLCite \textit{G. Li} and \textit{X. Xue}, Pure Appl. Math. 12, No. 2, 6--11 (1996; Zbl 0865.28007)
Xue, Xiaoping; Cheng, Lixin; Li, Goucheng; Yao, Xiaobo Set valued measures and integral representation. (English) Zbl 0885.28008 Commentat. Math. Univ. Carol. 37, No. 2, 269-284 (1996). Reviewer: V.Panchapagesan Thiruyaiyaru (Merida) MSC: 28B20 46G10 28B05 PDFBibTeX XMLCite \textit{X. Xue} et al., Commentat. Math. Univ. Carol. 37, No. 2, 269--284 (1996; Zbl 0885.28008) Full Text: EuDML
Šiaulys, J. The convergence to the Poisson law. II: Unbounded strongly additive functions. (English. Russian original) Zbl 0886.11050 Lith. Math. J. 36, No. 3, 314-322 (1996); translation from Liet. Mat. Rink. 36, No. 3, 393-404 (1996). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{J. Šiaulys}, Lith. Math. J. 36, No. 3, 314--322 (1996; Zbl 0886.11050); translation from Liet. Mat. Rink. 36, No. 3, 393--404 (1996) Full Text: DOI
Kronsbein, Gerhard; Meyer-Nieberg, Peter Factorization of vector measures. (English) Zbl 0833.47032 Arch. Math. 63, No. 6, 541-548 (1994). Reviewer: Klaus D.Schmidt (Dresden) MSC: 47B65 28B05 46G10 PDFBibTeX XMLCite \textit{G. Kronsbein} and \textit{P. Meyer-Nieberg}, Arch. Math. 63, No. 6, 541--548 (1994; Zbl 0833.47032) Full Text: DOI
Plachky, D. Unique and extremal extensions of measures with applications to decomposition of real-valued measures and extension of strongly additive vector measures. (English) Zbl 0808.28003 Atti Semin. Mat. Fis. Univ. Modena 42, No. 2, 367-378 (1994). MSC: 28A12 28B05 PDFBibTeX XMLCite \textit{D. Plachky}, Atti Semin. Mat. Fis. Univ. Modena 42, No. 2, 367--378 (1994; Zbl 0808.28003)
Galambos, János Extensions of some extremal properties of prime divisors to Poisson limit theorems. (English) Zbl 0791.11052 Knopp, Marvin (ed.) et al., A tribute to Emil Grosswald: number theory and related analysis. Providence, RI: American Mathematical Society. Contemp. Math. 143, 363-369 (1993). Reviewer: E.J.Scourfield (Egham) MSC: 11N37 11N64 11N60 11K65 PDFBibTeX XMLCite \textit{J. Galambos}, Contemp. Math. 143, 363--369 (1993; Zbl 0791.11052)
Yallaoui, El-Bachir On normal and strongly normal lattices. (English) Zbl 0777.28003 Int. J. Math. Math. Sci. 16, No. 2, 337-344 (1993). Reviewer: P.Morales (Sherbrooke) MSC: 28A60 28C15 06B30 PDFBibTeX XMLCite \textit{E.-B. Yallaoui}, Int. J. Math. Math. Sci. 16, No. 2, 337--344 (1993; Zbl 0777.28003) Full Text: DOI EuDML
Xuan, Tizuo The Turán-Kubilius inequality for integers free of large prime factors. (English) Zbl 0772.11035 J. Number Theory 43, No. 1, 82-87 (1993). Reviewer: E.J.Scourfield (Egham) MSC: 11N25 11N37 11K65 PDFBibTeX XMLCite \textit{T. Xuan}, J. Number Theory 43, No. 1, 82--87 (1993; Zbl 0772.11035) Full Text: DOI
Kandilakis, Dimitrios A. On the extension of multimeasures and integration with respect to a multimeasure. (English) Zbl 0762.28012 Proc. Am. Math. Soc. 116, No. 1, 85-92 (1992). Reviewer: A.Nowak (Katowice) MSC: 28B20 PDFBibTeX XMLCite \textit{D. A. Kandilakis}, Proc. Am. Math. Soc. 116, No. 1, 85--92 (1992; Zbl 0762.28012) Full Text: DOI
Brooks, James K.; Martellotti, Anna On the De Giorgi-Letta integral in infinite dimensions. (English) Zbl 0797.28007 Atti Semin. Mat. Fis. Univ. Modena 40, No. 1, 285-302 (1992). Reviewer: J.W.Hagood (Flagstaff) MSC: 28B05 46E30 PDFBibTeX XMLCite \textit{J. K. Brooks} and \textit{A. Martellotti}, Atti Semin. Mat. Fis. Univ. Modena 40, No. 1, 285--302 (1992; Zbl 0797.28007)
Erdős, Pál; Hegyvári, Norbert On prime-additive numbers. (English) Zbl 0688.10043 Stud. Sci. Math. Hung. 27, No. 1-2, 207-212 (1992). Reviewer: Pál Erdős (Budapest) MSC: 11P32 11A41 PDFBibTeX XMLCite \textit{P. Erdős} and \textit{N. Hegyvári}, Stud. Sci. Math. Hung. 27, No. 1--2, 207--212 (1992; Zbl 0688.10043)
Galambos, János; Indlekofer, Karl-Heinz Additive functions vanishing outside a given set of primes. I: Limiting distribution on short intervals. (English) Zbl 0760.11021 Publ. Math. Debr. 40, No. 3-4, 211-217 (1992). Reviewer: A.Hildebrand (Urbana) MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{J. Galambos} and \textit{K.-H. Indlekofer}, Publ. Math. Debr. 40, No. 3--4, 211--217 (1992; Zbl 0760.11021)
Šiaulys, J. The von Mises theorem in number theory. (English) Zbl 0772.11026 Analytic and probabilistic methods in number theory. Proc. Int. Conf. in Honour of J. Kubilius, Palanga/Lith. 1991, New Trends Probab. Stat. 2, 293-310 (1992). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11K65 PDFBibTeX XMLCite \textit{J. Šiaulys}, New Trends Probab. Stat. 2, 293--310 (1992; Zbl 0772.11026)
D’Andrea, Anna Bruna; De Lucia, Paolo The Lebesgue decomposition theorem on an orthomodular lattice. (English) Zbl 0802.28006 Measure theory, Proc. Conf., Oberwolfach/Ger. 1990, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 28, 379-386 (1992). Reviewer: J.W.Hagood (Flagstaff) MSC: 28B10 06C15 PDFBibTeX XMLCite \textit{A. B. D'Andrea} and \textit{P. De Lucia}, in: Measure theory, Oberwolfach 1990. Proceedings of the conference, held at Oberwolfach, Germany, March 18-24, 1990. Palermo: Circolo Matematico di Palermo. 379--386 (1992; Zbl 0802.28006)
De Koninck, Jean-Marie; Kátai, Imre; Mercier, Armel Additive functions monotonic on the set of primes. II. (English) Zbl 0765.11039 Can. J. Math. 43, No. 4, 705-720 (1991). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11N37 11K65 11N60 PDFBibTeX XMLCite \textit{J.-M. De Koninck} et al., Can. J. Math. 43, No. 4, 705--720 (1991; Zbl 0765.11039) Full Text: DOI
De Koninck, J. M.; Kátai, I.; Mercier, A. Additive functions monotonic on the set of primes. (English) Zbl 0722.11046 Acta Arith. 57, No. 1, 41-68 (1991). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11N37 11K65 11N60 PDFBibTeX XMLCite \textit{J. M. De Koninck} et al., Acta Arith. 57, No. 1, 41--68 (1991; Zbl 0722.11046) Full Text: DOI EuDML
Kátai, I. On the number of prime factors of \(\varphi{} (\varphi{}(n))\). (English) Zbl 0751.11041 Acta Math. Hung. 58, No. 1-2, 211-225 (1991). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11K65 PDFBibTeX XMLCite \textit{I. Kátai}, Acta Math. Hung. 58, No. 1--2, 211--225 (1991; Zbl 0751.11041) Full Text: DOI
Pomares, Beatriz Porras A note on the representing measures of operators defined on spaces of vector-valued continuous functions. (English) Zbl 0754.47027 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 30, No. 2, 405-413 (1991). Reviewer: Vladimir S. Rabinovich (Rostov-na-Donu) MSC: 47B38 47G10 46E27 45A05 46A50 PDFBibTeX XMLCite \textit{B. P. Pomares}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 30, No. 2, 405--413 (1991; Zbl 0754.47027)
Elliott, P. D. T. A. Applications of elementary functional analysis to the study of arithmetic functions. (English) Zbl 0704.11022 Number theory. Vol. I. Elementary and analytic, Proc. Conf., Budapest/Hung. 1987, Colloq. Math. Soc. János Bolyai 51, 35-43 (1990). Reviewer: I.Z.Ruzsa MSC: 11K65 11N64 47A30 PDFBibTeX XML
Ferrando, J. C.; López-Pellicer, M. Strong barrelledness properties in \(\ell ^{\infty}_ 0(X,{\mathcal A})\) and bounded finite additive measures. (English) Zbl 0687.46001 Math. Ann. 287, No. 4, 727-736 (1990). Reviewer: J.C.Ferrando MSC: 46A08 46E40 46E27 46A45 PDFBibTeX XMLCite \textit{J. C. Ferrando} and \textit{M. López-Pellicer}, Math. Ann. 287, No. 4, 727--736 (1990; Zbl 0687.46001) Full Text: DOI EuDML
Benítez Trujillo, F. Ramsey theorems for Boolean algebras. (Spanish. English summary) Zbl 0759.06012 Collect. Math. 41, No. 1, 13-19 (1990). Reviewer: P.Jimenez Guerra (Madrid) MSC: 06E99 28A60 28B05 03E05 PDFBibTeX XMLCite \textit{F. Benítez Trujillo}, Collect. Math. 41, No. 1, 13--19 (1990; Zbl 0759.06012) Full Text: EuDML
De Koninck, Jean-Marie; Mercier, Armel Les fonctions arithmétiques et le plus grand facteur premier. (Arithmetic functions and the greatest prime factor). (French) Zbl 0687.10030 Acta Arith. 52, No. 1, 25-48 (1989). Reviewer: A.Ivić MSC: 11N37 11N05 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{A. Mercier}, Acta Arith. 52, No. 1, 25--48 (1989; Zbl 0687.10030) Full Text: DOI EuDML
De Koninck, Jean-Marie; Kátai, Imre; Mercier, Armel Additive functions and the largest prime factor of integers. (English) Zbl 0687.10029 J. Number Theory 33, No. 3, 293-310 (1989). Reviewer: K.Alladi MSC: 11N05 11N37 11K65 PDFBibTeX XMLCite \textit{J.-M. De Koninck} et al., J. Number Theory 33, No. 3, 293--310 (1989; Zbl 0687.10029) Full Text: DOI
Indlekofer, K.-H.; Kátai, I. Moments of additive functions on the sequence \(\{p+1\}\). (German) Zbl 0678.10039 Lit. Mat. Sb. 28, No. 4, 669-679 (1988). Reviewer: I.Z.Ruzsa MSC: 11K65 PDFBibTeX XMLCite \textit{K. H. Indlekofer} and \textit{I. Kátai}, Litov. Mat. Sb. 28, No. 4, 669--679 (1988; Zbl 0678.10039)
Stakėnas, V.; Šiaulys, J. Distribution of values of additive functions of a rational argument. (English. Russian original) Zbl 0667.10033 Lith. Math. J. 28, No. 3, 273-284 (1988). MSC: 11K65 PDFBibTeX XMLCite \textit{V. Stakėnas} and \textit{J. Šiaulys}, Lith. Math. J. 28, No. 3, 273--284 (1988; Zbl 0667.10033) Full Text: DOI
Schmidt, Klaus D. On the modulus of weakly compact operators and strongly additive vector measures. (English) Zbl 0662.46025 Proc. Am. Math. Soc. 102, No. 4, 862-866 (1988). Reviewer: Z.Lipecki MSC: 46B42 46G10 47B60 28B05 28B15 47L05 PDFBibTeX XMLCite \textit{K. D. Schmidt}, Proc. Am. Math. Soc. 102, No. 4, 862--866 (1988; Zbl 0662.46025) Full Text: DOI
Stakenas, V.; Šiaulys, J. Distribution of values of additive functions with rational arguments. (Russian. English summary) Zbl 0652.10036 Lit. Mat. Sb. 28, No. 3, 565-581 (1988). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11K65 PDFBibTeX XMLCite \textit{V. Stakenas} and \textit{J. Šiaulys}, Litov. Mat. Sb. 28, No. 3, 565--581 (1988; Zbl 0652.10036)
Stroetmann, H. On the strong continuity of invariant charges. (English) Zbl 0646.28007 Stat. Decis. 6, No. 1-2, 189-193 (1988). Reviewer: Klaus D.Schmidt MSC: 28C10 28A10 60B15 28A12 PDFBibTeX XMLCite \textit{H. Stroetmann}, Stat. Decis. 6, No. 1--2, 189--193 (1988; Zbl 0646.28007)
Kubilius, J. On some inequalities in the probabilistic number theory. (English) Zbl 0629.10041 Probability theory and mathematical statistics, Proc. 5th Jap.-USSR Symp., Kyoto/Jap. 1986, Lect. Notes Math. 1299, 214-220 (1988). Reviewer: Adolf Hildebrand (Urbana) MSC: 11K65 11-02 PDFBibTeX XML
Alladi, Krishnaswami Multiplicative functions and Brun’s sieve. (English) Zbl 0601.10033 Acta Arith. 51, No. 3, 201-219 (1988). MSC: 11N35 11K65 PDFBibTeX XMLCite \textit{K. Alladi}, Acta Arith. 51, No. 3, 201--219 (1988; Zbl 0601.10033) Full Text: DOI EuDML
Postnikov, A. G. [Elliott, P. D. T. A.] Introduction to analytic number theory. Transl. from the Russian by G. A. Kandall. Ed. by Ben Silver. Appendix by P. D. T. A. Elliott. (English) Zbl 0641.10001 Translations of Mathematical Monographs, 68. Providence, RI: American Mathematical Society (AMS). vi, 320 p.; $ 114.00 (1988). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11-02 11Mxx 11N37 11K65 11P05 11N05 11N13 11N80 11N99 11P81 11D72 PDFBibTeX XMLCite \textit{A. G. Postnikov}, Introduction to analytic number theory. Transl. from the Russian by G. A. Kandall. Ed. by Ben Silver. Appendix by P. D. T. A. Elliott. Providence, RI: American Mathematical Society (1988; Zbl 0641.10001)
Ohba, Yukio Ranked-vector-space-valued measures. II. (English) Zbl 0649.46042 Sci. Rep. Res. Inst. Eng. 10, 14-16 (1987). MSC: 46G10 28B05 46A99 PDFBibTeX XMLCite \textit{Y. Ohba}, Sci. Rep. Res. Inst. Eng. 10, 14--16 (1987; Zbl 0649.46042)
Van Rossum-Wijsmuller, Marijke A variant of Kátai’s minimax theorem for additive functions. (English) Zbl 0649.10048 Publ. Math. Debr. 34, No. 3-4, 323-326 (1987). Reviewer: Janos Galambos (Philadelphia) MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{M. Van Rossum-Wijsmuller}, Publ. Math. Debr. 34, No. 3--4, 323--326 (1987; Zbl 0649.10048)
Alladi, Krishnaswami Moments of additive functions and special sets. (English) Zbl 0643.10040 Sémin. Théor. Nombres, Univ. Bordeaux I 1986-1987, Exp. No. 1, 12 p. (1987). Reviewer: A.Hildebrand MSC: 11K65 11N37 PDFBibTeX XML Full Text: EuDML
Galambos, Janos; Kátai, Imre The gaps in a particular sequence of integers of positive density. (English) Zbl 0636.10039 J. Lond. Math. Soc., II. Ser. 36, No. 3, 429-435 (1987). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11N60 11B05 11K65 PDFBibTeX XMLCite \textit{J. Galambos} and \textit{I. Kátai}, J. Lond. Math. Soc., II. Ser. 36, No. 3, 429--435 (1987; Zbl 0636.10039) Full Text: DOI
Hausman, Miriam; Shapiro, Harold N. Distribution functions of hyperadditive arithmetic functions. (English) Zbl 0608.10048 Commun. Pure Appl. Math. 40, No. 2, 221-227 (1987). Reviewer: A.Hildebrand MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{M. Hausman} and \textit{H. N. Shapiro}, Commun. Pure Appl. Math. 40, No. 2, 221--227 (1987; Zbl 0608.10048) Full Text: DOI
De Lucia, Paolo; Morales, Pedro Equivalence of Brooks-Jewett, Vitali-Hahn-Saks and Nikodým convergence theorems for uniform semigroup-valued additive functions on a Boolean ring. (English) Zbl 0612.28006 Ric. Mat. 35, 75-87 (1986). Reviewer: Klaus D.Schmidt MSC: 28B10 28A60 PDFBibTeX XMLCite \textit{P. De Lucia} and \textit{P. Morales}, Ric. Mat. 35, 75--87 (1986; Zbl 0612.28006)
Kubilyus, J. Improved estimate of the second central moment for additive arithmetic functions. (English) Zbl 0592.10045 Lith. Math. J. 25, 250-254 (1985). MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{J. Kubilyus}, Lith. Math. J. 25, 250--254 (1985; Zbl 0592.10045) Full Text: DOI
Ohba, Sachio Ranked-vector-space valued measures. (English) Zbl 0583.46038 Sci. Rep. Res. Inst. Eng. 8, 25-28 (1985). MSC: 46G10 28B05 46A99 54A20 PDFBibTeX XMLCite \textit{S. Ohba}, Sci. Rep. Res. Inst. Eng. 8, 25--28 (1985; Zbl 0583.46038)
Kubilyus, J. Improvement of the estimate of the second central moment for additive arithmetical functions. (Russian. English summary) Zbl 0582.10039 Litov. Mat. Sb. 25, No. 3, 104-110 (1985). Reviewer: A.Hildebrand MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{J. Kubilyus}, Litov. Mat. Sb. 25, No. 3, 104--110 (1985; Zbl 0582.10039)
Alladi, Krishnaswami Moments of additive functions and sieve methods. (English) Zbl 0531.10052 Number theory, Semin. New York 1982, Lect. Notes Math. 1052, 1-25 (1984). Reviewer: Eira J. Scourfield (Egham) MSC: 11N60 11-02 11N36 PDFBibTeX XML
Antosik, Piotr; Swartz, Charles The Schur and Phillips lemmas for topological groups. (English) Zbl 0526.22001 J. Math. Anal. Appl. 98, 179-187 (1984). MSC: 22A05 28A33 46A19 PDFBibTeX XMLCite \textit{P. Antosik} and \textit{C. Swartz}, J. Math. Anal. Appl. 98, 179--187 (1984; Zbl 0526.22001) Full Text: DOI
Fox, Geoffrey; Morales, Pedro Extension of group-valued set functions defined on lattices. (English) Zbl 0573.28011 Fundam. Math. 116, 143-155 (1983). Reviewer: Z.Lipecki MSC: 28B10 PDFBibTeX XMLCite \textit{G. Fox} and \textit{P. Morales}, Fundam. Math. 116, 143--155 (1983; Zbl 0573.28011) Full Text: DOI EuDML
Rosenberg, Milton Explicit structure of the 2-majorant of an operator-valued measure in a special case. (English) Zbl 0544.28006 Prediction theory and harmonic analysis, Pesi Masani Vol., 269-274 (1983). Reviewer: Klaus D.Schmidt MSC: 28B05 46G10 PDFBibTeX XML
Émilion, Richard Différentiation des processus sur-additifs à plusieurs paramètres. (French) Zbl 0537.47006 C. R. Acad. Sci., Paris, Sér. I 296, 133-136 (1983). MSC: 47A35 46E30 47D03 60J25 PDFBibTeX XMLCite \textit{R. Émilion}, C. R. Acad. Sci., Paris, Sér. I 296, 133--136 (1983; Zbl 0537.47006)
Émilion, Richard; Hachem, Bachar Un théorème ergodique fortement sur-additif à plusieurs paramètres. (French) Zbl 0537.47005 C. R. Acad. Sci., Paris, Sér. I 296, 85-87 (1983). MSC: 47A35 47D03 46E30 60J05 60G10 PDFBibTeX XMLCite \textit{R. Émilion} and \textit{B. Hachem}, C. R. Acad. Sci., Paris, Sér. I 296, 85--87 (1983; Zbl 0537.47005)
Kubilyus, J. On the estimation of the second central moment for strongly additive arithmetic functions. (English. Russian original) Zbl 0531.10053 Lith. Math. J. 23, 61-69 (1983); translation from Litov. Mat. Sb. 23, No. 1, 122-133 (1983). Reviewer: B. V. Levin MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{J. Kubilyus}, Lith. Math. J. 23, 61--69 (1983; Zbl 0531.10053); translation from Litov. Mat. Sb. 23, No. 1, 122--133 (1983) Full Text: DOI
Ghosh, A. An extension of the method of moments for additive functions. (English) Zbl 0517.10047 Journées arithmétiques, Orsay 1982, Publ. Math. Orsay 83.04, 65-73 (1983). Reviewer: Wolfgang Schwarz (Frankfurt am Main) MSC: 11N37 11K65 PDFBibTeX XML
Laczkovich, M. Continuity and derivability of additive interval functions. (English) Zbl 0592.28004 Acta Math. Acad. Sci. Hung. 39, 393-400 (1982). MSC: 28A15 26B05 PDFBibTeX XMLCite \textit{M. Laczkovich}, Acta Math. Acad. Sci. Hung. 39, 393--400 (1982; Zbl 0592.28004) Full Text: DOI
Bantea, Radu On prolongation of vector measures by means of non-standard methods. (Romanian) Zbl 0488.28008 Stud. Cercet. Mat. 33, 573-600 (1981). MSC: 28B05 26E30 PDFBibTeX XMLCite \textit{R. Bantea}, Stud. Cercet. Mat. 33, 573--600 (1981; Zbl 0488.28008)
Bantea, Radu Non-standard vector measures. (Romanian) Zbl 0488.28007 Stud. Cercet. Mat. 33, 503-514 (1981). MSC: 28B05 26E30 PDFBibTeX XMLCite \textit{R. Bantea}, Stud. Cercet. Mat. 33, 503--514 (1981; Zbl 0488.28007)
Masani, P. An outline of a theory of stationary measures over \(R^ q\). (English) Zbl 0504.28007 Measure theory, Proc. Conf., Oberwolfach 1979, Lect. Notes Math. 794, 295-309 (1980). MSC: 28A12 28B05 28A33 PDFBibTeX XML
Erdős, Paul; Katai, I. On the maximal value of additive functions in short intervals and on some related questions. (English) Zbl 0456.10024 Acta Math. Acad. Sci. Hung. 35, 257-278 (1980); correction ibid. 37, 499 (1981). Reviewer: B.Garrison MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{P. Erdős} and \textit{I. Katai}, Acta Math. Acad. Sci. Hung. 35, 257--278 (1980; Zbl 0456.10024) Full Text: DOI
Dence, Thomas P. A Lebesgue decomposition for elements in a topological group. (English) Zbl 0453.28002 Int. J. Math. Math. Sci. 3, 801-808 (1980). MSC: 28A10 22A10 28C10 28B10 PDFBibTeX XMLCite \textit{T. P. Dence}, Int. J. Math. Math. Sci. 3, 801--808 (1980; Zbl 0453.28002) Full Text: DOI EuDML
Deaibes, Ali Mesures uniformes maximales. (French) Zbl 0437.28007 Commentat. Math. Univ. Carol. 21, 551-562 (1980). MSC: 28C15 28A33 54E15 28C05 PDFBibTeX XMLCite \textit{A. Deaibes}, Commentat. Math. Univ. Carol. 21, 551--562 (1980; Zbl 0437.28007) Full Text: EuDML
Erdős, Paul; Katai, I. On the growth of some additive functions on small intervals. (English) Zbl 0417.10039 Acta Math. Acad. Sci. Hung. 33, 345-359 (1979). Reviewer: L.Lucht MSC: 11N35 11N05 11N37 PDFBibTeX XMLCite \textit{P. Erdős} and \textit{I. Katai}, Acta Math. Acad. Sci. Hung. 33, 345--359 (1979; Zbl 0417.10039) Full Text: DOI
Elliott, Peter D. T. A. Sur les fonctions arithmétiques additives. (French) Zbl 0286.10029 C. R. Acad. Sci., Paris, Sér. A 278, 1573-1575 (1974). Reviewer: Janos Galambos (Philadelphia) MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{P. D. T. A. Elliott}, C. R. Acad. Sci., Paris, Sér. A 278, 1573--1575 (1974; Zbl 0286.10029)
Kubilius, J. Probabilistic methods in the theory of numbers. Translated from the Russian by Gretchen Burgie and Susan Schuur. (English) Zbl 0133.30203 Translations of Mathematical Monographs. 11. Providence, R. I.: American Mathematical Society (AMS). xviii, 182 pp. (1964). MSC: 11K65 11-02 11N60 11N64 PDFBibTeX XML
Kubilius, J. Probabilistic methods in number theory. 2nd rev. ed. (Вероятностные методы в теории чисел.) (Russian) Zbl 0127.27402 Vilnius: Gosudarstv. Izdat. Politich. i Nauchn. Lit. Litovsk. SSR. 220 p. R 0.82 (1962). Reviewer: K. Prachar (Wien) MSC: 11K65 11-02 11N60 11N64 PDFBibTeX XML
Barban, M. B. On a theorem of J. P. Kubilius. (Über einen Satz von I. P. Kubilyus.) (Russian) Zbl 0131.28702 Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1961, No. 5, 3-9 (1961); letter to the editors: 1963, No. 1, 82-83 (1963). MSC: 11N60 11K65 PDFBibTeX XMLCite \textit{M. B. Barban}, Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1961, No. 5, 3--9 (1961; Zbl 0131.28702)
Delange, Hubert Sur les fonctions arithmétiques fortement additives. (French) Zbl 0080.26201 C. R. Acad. Sci., Paris 244, 2122-2124 (1957). Reviewer: K. Prachar MSC: 11N60 PDFBibTeX XMLCite \textit{H. Delange}, C. R. Acad. Sci., Paris 244, 2122--2124 (1957; Zbl 0080.26201)
Delange, Hubert Sur les fonctions arithmétiques fortement additives. (French) Zbl 0077.05304 C. R. Acad. Sci., Paris 244, 1307-1309 (1957). Reviewer: Karl Prachar (Wien) MSC: 11N37 PDFBibTeX XMLCite \textit{H. Delange}, C. R. Acad. Sci., Paris 244, 1307--1309 (1957; Zbl 0077.05304)
Delange, Hubert Sur un théorème d’Erdős et Kac. (French) Zbl 0072.03501 Acad. Roy. Belgique, Bull. Cl. Sci., V. Ser. 42, 130-144 (1956). Reviewer: Karl Prachar MSC: 11N37 PDFBibTeX XMLCite \textit{H. Delange}, Bull. Cl. Sci., V. Sér., Acad. R. Belg. 42, 130--144 (1956; Zbl 0072.03501)
Kubilius, J. P. Probabilistic methods in number theory. (Wahrscheinlichkeitstheoretische Methoden in der Zahlentheorie.) (Russian) Zbl 0071.04301 Usp. Mat. Nauk 11, No. 2(68), 31-66 (1956). Reviewer: Alfréd Rényi MSC: 11K65 11-02 11N64 11N36 11R52 60J10 PDFBibTeX XMLCite \textit{J. P. Kubilius}, Usp. Mat. Nauk 11, No. 2(68), 31--66 (1956; Zbl 0071.04301)
Kubilius, J. P. On the distribution of the values of additive arithmetic functions. (Über die Verteilung der Werte additiver arithmetischer Funktionen.) (Russian) Zbl 0068.26703 Dokl. Akad. Nauk SSSR 100, 623-626 (1955). Reviewer: Yu.V. Linnik MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{J. P. Kubilius}, Dokl. Akad. Nauk SSSR 100, 623--626 (1955; Zbl 0068.26703)