Mangerel, Alexander P. Additive functions in short intervals, gaps and a conjecture of Erdős. (English) Zbl 1510.11144 Ramanujan J. 59, No. 4, 1023-1090 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N64 PDFBibTeX XMLCite \textit{A. P. Mangerel}, Ramanujan J. 59, No. 4, 1023--1090 (2022; Zbl 1510.11144) Full Text: DOI arXiv
Baronėnas, Žygimantas; Manstavičius, Eugenijus; Šapokaitė, Patricija A sharp inequality for the variance with respect to the Ewens sampling formula. (English) Zbl 1470.60017 Lith. Math. J. 61, No. 3, 289-300 (2021). MSC: 60C05 05A16 20P05 PDFBibTeX XMLCite \textit{Ž. Baronėnas} et al., Lith. Math. J. 61, No. 3, 289--300 (2021; Zbl 1470.60017) Full Text: DOI arXiv
Karbonskis, Arvydas; Manstavičius, Eugenijus Effective bounds of the variance of statistics on multisets of necklaces. (English) Zbl 07602755 Liet. Mat. Rink., Proc. Lith. Math. Soc., Ser. A 61, 7-12 (2020). MSC: 62-XX 05-XX PDFBibTeX XMLCite \textit{A. Karbonskis} and \textit{E. Manstavičius}, Liet. Mat. Rink., Proc. Lith. Math. Soc., Ser. A 61, 7--12 (2020; Zbl 07602755) Full Text: DOI
Manstavičius, Eugenijus Sharp bounds for the variance of linear statistics on random permutations. (English) Zbl 1456.60034 Random Struct. Algorithms 57, No. 4, 1303-1313 (2020). MSC: 60C05 05A05 05A15 PDFBibTeX XMLCite \textit{E. Manstavičius}, Random Struct. Algorithms 57, No. 4, 1303--1313 (2020; Zbl 1456.60034) Full Text: DOI
de la Bretèche, Régis; Lamzouri, Youness; Tenenbaum, Gérald The friable Turán-Kubilius inequality and asymptotic independence. (Inégalité de Turán-Kubilius friable et indépendance asymptotique.) (French. English summary) Zbl 1412.11123 Acta Arith. 183, No. 2, 191-199 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{R. de la Bretèche} et al., Acta Arith. 183, No. 2, 191--199 (2018; Zbl 1412.11123) Full Text: DOI arXiv
Manstavičius, Eugenijus; Stepas, Vytautas Variance of additive functions defined on random assemblies. (English) Zbl 1383.60015 Lith. Math. J. 57, No. 2, 222-235 (2017). MSC: 60C05 05A16 PDFBibTeX XMLCite \textit{E. Manstavičius} and \textit{V. Stepas}, Lith. Math. J. 57, No. 2, 222--235 (2017; Zbl 1383.60015) Full Text: DOI arXiv
Manstavičius, Eugenijus; Stepas, Vytautas Variance of additive functions defined on random assemblies. (English) Zbl 1414.60007 Neininger, Ralph (ed.) et al., Proceedings of the 27th international conference on probabilistic, combinatorial and asymptotic methods for the analysis of algorithms – AofA’16, Kraków, Poland, July 4–8, 2016. Kraków: Jagiellonian University, Department of Theoretical Computer Science. 3 p. (2016). MSC: 60C05 05A16 PDFBibTeX XMLCite \textit{E. Manstavičius} and \textit{V. Stepas}, in: Proceedings of the 27th international conference on probabilistic, combinatorial and asymptotic methods for the analysis of algorithms -- AofA'16, Kraków, Poland, July 4--8, 2016. Kraków: Jagiellonian University, Department of Theoretical Computer Science. 3 p. (2016; Zbl 1414.60007) Full Text: arXiv
Manstavičius, Eugenijus A Turán-Kubilius inequality on mappings of a finite set. (English) Zbl 1366.60020 Sander, Jürgen (ed.) et al., From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer (ISBN 978-3-319-28202-2/hbk; 978-3-319-28203-9/ebook). 295-307 (2016). MSC: 60C05 05A15 PDFBibTeX XMLCite \textit{E. Manstavičius}, in: From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 295--307 (2016; Zbl 1366.60020) 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
De Koninck, Jean-Marie; Kátai, Imre Multidimensional sequences uniformly distributed modulo 1 created from normal numbers. (English) Zbl 1356.11045 Cojocaru, A. C. (ed.) et al., SCHOLAR – a scientific celebration highlighting open lines of arithmetic research. Conference in honour of M. Ram Murty’s mathematical legacy on his 60th birthday, Centre de Recherches Mathématiques, Université de Montréal, Canada, October 15–17, 2013. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-1457-3/pbk; 978-1-4704-2843-3/ebook). Contemporary Mathematics 655. Centre de Recherches Mathématiques Proceedings, 77-82 (2015). MSC: 11K36 11K16 11J71 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Contemp. Math. 655, 77--82 (2015; Zbl 1356.11045) Full Text: DOI
Tenenbaum, Gérald Introduction to analytic and probabilistic number theory. Transl. from the 3rd French edition by Patrick D. F. Ion. 3rd expanded ed. (English) Zbl 1336.11001 Graduate Studies in Mathematics 163. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9854-3/hbk). xxiv, 629 p. (2015). Reviewer: Florian Luca (Morelia) MSC: 11-01 11-02 11Nxx 11Kxx 11Mxx 11Lxx 11N35 11N37 11N56 11A41 11A25 11K65 11L40 11N60 11M06 11M45 11N05 11N13 11L07 PDFBibTeX XMLCite \textit{G. Tenenbaum}, Introduction to analytic and probabilistic number theory. Transl. from the 3rd French edition by Patrick D. F. Ion. 3rd expanded ed. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1336.11001)
Kátai, Imre On the Turán-Kubilius inequality. (English) Zbl 1333.11082 Pintz, János (ed.) et al., Number theory, analysis, and combinatorics. Proceedings of the Paul Turán memorial conference, Budapest, Hungary, August 22–26, 2011. Berlin: De Gruyter (ISBN 978-3-11-028242-9/ebook; 978-3-11-028237-5/hbk). De Gruyter Proceedings in Mathematics, 177-185 (2014). Reviewer: Adam J. Harper (Cambridge) MSC: 11L03 11N60 11K65 11A63 PDFBibTeX XMLCite \textit{I. Kátai}, in: Number theory, analysis, and combinatorics. Proceedings of the Paul Turán memorial conference, Budapest, Hungary, August 22--26, 2011. Berlin: De Gruyter. 177--185 (2014; Zbl 1333.11082)
de la Bretèche, Régis; Tenenbaum, Gérald On the friable Turán-Kubilius inequality. (English) Zbl 1348.11068 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). 111-117 (2012). MSC: 11N25 11N37 11N60 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{G. Tenenbaum}, 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. 111--117 (2012; Zbl 1348.11068)
Elliott, Peter D. T. A. Operator norms and the mean values of multiplicative functions. (English) Zbl 1347.11069 RIMS Kôkyûroku Bessatsu B34, 81-102 (2012). MSC: 11N37 11N56 11N64 PDFBibTeX XMLCite \textit{P. D. T. A. Elliott}, RIMS Kôkyûroku Bessatsu B34, 81--102 (2012; Zbl 1347.11069)
Hanrot, Guillaume; Martin, Bruno; Tenenbaum, Gérald Friable Turan-Kubilius constants: a numerical study. (Constantes de Turán-Kubilius friables: une étude numérique.) (French. English summary) Zbl 1276.11152 Exp. Math. 19, No. 3, 345-361 (2010). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11N37 11-04 47-04 47B38 PDFBibTeX XMLCite \textit{G. Hanrot} et al., Exp. Math. 19, No. 3, 345--361 (2010; Zbl 1276.11152) Full Text: DOI Euclid
Martin, B.; Tenenbaum, G. On the friable Turán-Kubilius inequality. (Sur l’inégalité de Turán-Kubilius friable.) (French. English summary) Zbl 1214.11109 J. Reine Angew. Math. 647, 175-234 (2010). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N64 11K65 11N37 11L07 PDFBibTeX XMLCite \textit{B. Martin} and \textit{G. Tenenbaum}, J. Reine Angew. Math. 647, 175--234 (2010; Zbl 1214.11109) Full Text: DOI
Šiaulys, Jonas; Stepanauskas, Gediminas On the mean value of the product of multiplicative functions with shifted argument. (English) Zbl 1121.11064 Monatsh. Math. 150, No. 4, 343-351 (2007). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11N37 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, Monatsh. Math. 150, No. 4, 343--351 (2007; Zbl 1121.11064) Full Text: DOI
Wehmeier, S. The Turán-Kubilius inequality for additive arithmetic semigroups. (Die Turán-Kubilius-Ungleichung für additive arithmetische Halbgruppen.) (English. German original) Zbl 1187.11026 Lith. Math. J. 46, No. 3, 371-383 (2006); translation from Liet. Mat. Rink. 46, No. 3, 457-471 (2006). MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{S. Wehmeier}, Lith. Math. J. 46, No. 3, 371--383 (2006; Zbl 1187.11026); translation from Liet. Mat. Rink. 46, No. 3, 457--471 (2006) Full Text: DOI EuDML
de la Bretèche, R.; Tenenbaum, G. Friable integers: Turán-Kubilius inequality and applications. (Entiers friables: inégalité de Turán-Kubilius et applications.) (French) Zbl 1182.11045 Invent. Math. 159, No. 3, 531-588 (2005). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N64 11N37 11L07 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{G. Tenenbaum}, Invent. Math. 159, No. 3, 531--588 (2005; Zbl 1182.11045) Full Text: DOI
Indlekofer, K.-H.; Kátai, I. Generalized moments of additive functions. II. (English) Zbl 1003.11040 Lith. Math. J. 41, No. 1, 54-64 (2001) and Liet. Mat. Rink. 41, No. 1, 70-83 (2001). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11K65 11N64 PDFBibTeX XMLCite \textit{K. H. Indlekofer} and \textit{I. Kátai}, Lith. Math. J. 41, No. 1, 54--64 (2001) and Liet. Mat. Rink. 41, No. 1, 70--83 (2001; Zbl 1003.11040) Full Text: DOI
Peter, Manfred; Spilker, Jürgen Value distribution of \(g\)-additive functions. (English) Zbl 1016.11029 Manuscr. Math. 105, No. 4, 519-536 (2001). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11K65 11N69 11N60 PDFBibTeX XMLCite \textit{M. Peter} and \textit{J. Spilker}, Manuscr. Math. 105, No. 4, 519--536 (2001; Zbl 1016.11029) Full Text: DOI
Bareikis, Gintautas The Kubilius inequality in the polynomial semigroup. (Lithuanian. English summary) Zbl 1018.11047 Liet. Mat. Rink. 40, Spec. Iss., 11-17 (2000). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11N56 PDFBibTeX XMLCite \textit{G. Bareikis}, Liet. Mat. Rink. 40, 11--17 (2000; Zbl 1018.11047)
Bhowmik, Gautami; Ramaré, Olivier A Turán-Kubilius inequality for integer matrices. (English) Zbl 0937.11042 J. Number Theory 73, No. 1, 59-71 (1998). Reviewer: Xuan Tizuo (Beijing) MSC: 11N37 11C20 PDFBibTeX XMLCite \textit{G. Bhowmik} and \textit{O. Ramaré}, J. Number Theory 73, No. 1, 59--71 (1998; Zbl 0937.11042) Full Text: DOI
Elliott, P. D. T. A. Duality in analytic number theory. (English) Zbl 0887.11002 Cambridge Tracts in Mathematics. 122. Cambridge: Cambridge University Press. xviii, 341 p. (1997). Reviewer: Wolfgang Schwarz (Frankfurt am Main) MSC: 11-02 11K65 11N37 11N60 11N64 PDFBibTeX XMLCite \textit{P. D. T. A. Elliott}, Duality in analytic number theory. Cambridge: Cambridge University Press (1997; Zbl 0887.11002)
Babu, Gutti Jogesh On a conjecture by Erdős and its extension to additive function on the set of pairs of integers. (English) Zbl 0920.11058 Laurinčikas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the 2nd international conference in honour of J. Kubilius, Palanga, Lithuania, September 23–27, 1996. Utrecht: VSP. New Trends Probab. Stat. 4, 261-270 (1997). Reviewer: Wolfgang Schwarz (Frankfurt am Main) MSC: 11K65 PDFBibTeX XMLCite \textit{G. J. Babu}, New Trends Probab. Stat. 4, 261--270 (1997; Zbl 0920.11058)
Erdős, Paul; Pomerance, Carl; Sárközy, András On locally repeated values of certain arithmetic functions. IV. (English) Zbl 0906.11048 Ramanujan J. 1, No. 3, 227-241 (1997). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11N64 11A25 11N25 PDFBibTeX XMLCite \textit{P. Erdős} et al., Ramanujan J. 1, No. 3, 227--241 (1997; Zbl 0906.11048) Full Text: DOI
Bassily, N. L.; Kátai, I.; Wijsmuller, M. Number of prime divisors of \(\varphi_ k(n)\), where \(\varphi_ k\) is the \(k\)-fold iterative of \(\varphi\). (English) Zbl 0878.11036 J. Number Theory 65, No. 2, 226-239 (1997). Reviewer: P.Shiu (Loughborough) MSC: 11N37 11K65 11N36 11A25 PDFBibTeX XMLCite \textit{N. L. Bassily} et al., J. Number Theory 65, No. 2, 226--239 (1997; Zbl 0878.11036) Full Text: DOI
Biró, A.; Szamuely, T. A Turán-Kubilius inequality with multiplicative weights. (English) Zbl 0866.11047 Acta Math. Hung. 70, No. 1-2, 39-56 (1996). Reviewer: Wolfgang Schwarz (Frankfurt am Main) MSC: 11K65 11N64 PDFBibTeX XMLCite \textit{A. Biró} and \textit{T. Szamuely}, Acta Math. Hung. 70, No. 1--2, 39--56 (1996; Zbl 0866.11047) Full Text: DOI
Tenenbaum, Gérald Introduction to analytic and probabilistic number theory. 2ème éd. (Introduction à la théorie analytique et probabiliste des nombres.) (French) Zbl 0880.11001 Cours Spécialisés. 1. Paris: Société Mathématique de France. xv, 457 p. (1995). Reviewer: Wolfgang Schwarz (Frankfurt am Main) MSC: 11-01 11-02 11N37 11K65 11N05 11N13 40E05 11M06 11N35 11L07 PDFBibTeX XMLCite \textit{G. Tenenbaum}, Introduction à la théorie analytique et probabiliste des nombres. 2ème éd. Paris: Société Mathématique de France (1995; Zbl 0880.11001)
Tenenbaum, Gérald Introduction to analytic and probabilistic number theory. Transl. from the 2nd French ed. by C.B.Thomas. (English) Zbl 0831.11001 Cambridge Studies in Advanced Mathematics. 46. Cambridge: Cambridge Univ. Press. xiv, 448 p. (1995). Reviewer: Wolfgang Schwarz (Frankfurt am Main) MSC: 11-01 11-02 11Nxx 11Kxx 11Mxx 11Lxx 11N35 11N37 11N56 11A41 11A25 11K65 11L40 11N60 11M06 11M45 11N05 11N13 11L07 PDFBibTeX XMLCite \textit{G. Tenenbaum}, Introduction to analytic and probabilistic number theory. Transl. from the 2nd French ed. by C. B.Thomas. Cambridge: Cambridge Univ. Press (1995; Zbl 0831.11001)
Elliott, P. D. T. A. On the correlation of multiplicative and the sum of additive arithmetic functions. (English) Zbl 0824.11056 Mem. Am. Math. Soc. 538, 88 p. (1994). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11N37 11K65 11-02 PDFBibTeX XMLCite \textit{P. D. T. A. Elliott}, On the correlation of multiplicative and the sum of additive arithmetic functions. Providence, RI: American Mathematical Society (AMS) (1994; Zbl 0824.11056) Full Text: DOI
Hinz, Jürgen G. On the prime ideal theorem. (English) Zbl 0877.11063 J. Indian Math. Soc., New Ser. 59, No. 1-4, 243-260 (1993). Reviewer: A.Hildebrand (Urbana) MSC: 11R44 11N37 PDFBibTeX XMLCite \textit{J. G. Hinz}, J. Indian Math. Soc., New Ser. 59, No. 1--4, 243--260 (1993; Zbl 0877.11063)
Xuan, Tizuo The Turán-Kubilius inequality for integers free of large prime factors. II. (English) Zbl 0786.11057 Acta Arith. 65, No. 4, 329-352 (1993). Reviewer: Tizuo Xuan (Beijing) MSC: 11N25 11N37 11K65 PDFBibTeX XMLCite \textit{T. Xuan}, Acta Arith. 65, No. 4, 329--352 (1993; Zbl 0786.11057) 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
Codecà, Paolo; Nair, Mohan On Elliott’s theorem on multiplicative functions. (English) Zbl 0799.11036 Bombieri, E. (ed.) et al., Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Salerno: Universitá di Salerno, 17-34 (1992). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{P. Codecà} and \textit{M. Nair}, in: Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Salerno: Universitá di Salerno. 17--34 (1992; Zbl 0799.11036)
Lee, Jungseob The second central moment of additive functions. (English) Zbl 0747.11032 Proc. Am. Math. Soc. 114, No. 4, 887-895 (1992). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11K65 PDFBibTeX XMLCite \textit{J. Lee}, Proc. Am. Math. Soc. 114, No. 4, 887--895 (1992; Zbl 0747.11032) Full Text: DOI
Mauclaire, J.-L. Measure theory and arithmetical functions. (English) Zbl 0772.11025 Analytic and probabilistic methods in number theory. Proc. Int. Conf. in Honour of J. Kubilius, Palanga/Lith. 1991, New Trends Probab. Stat. 2, 251-267 (1992). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11K65 11N64 PDFBibTeX XMLCite \textit{J. L. Mauclaire}, New Trends Probab. Stat. 2, 251--267 (1992; Zbl 0772.11025)
Zheng, Zhiyong On the least pair of quadratic non-residues \(\pmod p\). (English) Zbl 0773.11004 Adv. Math., Beijing 21, No. 4, 493-494 (1992). Reviewer: Jürgen Hinz (Marburg) MSC: 11A15 11N69 11L40 PDFBibTeX XMLCite \textit{Z. Zheng}, Adv. Math., Beijing 21, No. 4, 493--494 (1992; Zbl 0773.11004)
Warlimont, Richard On multiplicative functions of absolute value \(\leq 1\). (English) Zbl 0732.11047 Math. Nachr. 152, 113-120 (1991). Reviewer: A.Hildebrand (Urbana) MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{R. Warlimont}, Math. Nachr. 152, 113--120 (1991; Zbl 0732.11047) Full Text: DOI
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
Mauclaire, Jean-Loup Deux résultats de théorie probabiliste des nombres. (Two results in probabilistic number theory). (French) Zbl 0766.11036 C. R. Acad. Sci., Paris, Sér. I 311, No. 2, 69-72 (1990). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11K99 11K65 11N45 11N80 PDFBibTeX XMLCite \textit{J.-L. Mauclaire}, C. R. Acad. Sci., Paris, Sér. I 311, No. 2, 69--72 (1990; Zbl 0766.11036)
Touibi, Chedli Une démonstration élémentaire du théorème des idéaux premiers “via une inégalité du type grand crible”. (An elementary proof of the prime ideal theorem “via an inequality of the large sieve type”). (French) Zbl 0729.11059 Sémin. Théor. Nombres Bordx., Sér. II 2, No. 2, 333-348 (1990). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R44 11N36 PDFBibTeX XMLCite \textit{C. Touibi}, Sémin. Théor. Nombres Bordx., Sér. II 2, No. 2, 333--348 (1990; Zbl 0729.11059) Full Text: DOI Numdam EuDML
Erdős, Paul; Pomerance, Carl On a theorem of Besicovitch: Values of arithmetic functions that divide their arguments. (English) Zbl 0723.11046 Indian J. Math. 32, No. 3, 279-287 (1990). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11N37 11N25 PDFBibTeX XMLCite \textit{P. Erdős} and \textit{C. Pomerance}, Indian J. Math. 32, No. 3, 279--287 (1990; Zbl 0723.11046)
Šiaulys, J.; Stakėnas, V. The Kubilius inequality for additive functions of a rational argument. (English. Russian original) Zbl 0709.11042 Lith. Math. J. 30, No. 1, 72-77 (1990); translation from Lit. Mat. Sb. 30, No. 1, 176-184 (1990). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{V. Stakėnas}, Lith. Math. J. 30, No. 1, 72--77 (1990; Zbl 0709.11042); translation from Lit. Mat. Sb. 30, No. 1, 176--184 (1990) Full Text: DOI
Alladi, Krishnaswami The distribution of additive functions in special sets of integers. (English) Zbl 0687.10037 Number theory, Proc. Int. Ramanujan Cent. Conf., Madras/India 1987, Lect. Notes Math. 1395, 21-63 (1989). Reviewer: I.Z.Ruzsa MSC: 11K65 11N35 11-02 PDFBibTeX XML
Balazard, Michel Distribution of the values of the function \(\Omega_E(N))\). (Distribution des valeurs de la fonction \(\Omega_E(N)\).) (French) Zbl 0713.11073 Publ. Math. Orsay 88-02, 49-54 (1988). MSC: 11N64 PDFBibTeX XMLCite \textit{M. Balazard}, Publ. Math. Orsay 88--02, 49--54 (1988; Zbl 0713.11073)
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
Indlekofer, Karl-Heinz On generalizations of the Turán-Kubilius inequality. (Über Verallgemeinerungen der Turán-Kubilius Ungleichung.) (German) Zbl 0618.10050 Acta Arith. 52, No. 1, 67-79 (1989). Reviewer: Karl-Heinz Indlekofer MSC: 11K65 PDFBibTeX XMLCite \textit{K.-H. Indlekofer}, Acta Arith. 52, No. 1, 67--79 (1988; Zbl 0618.10050) 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)
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
Elliott, P. D. T. A. A local Turán-Kubilius inequality. (English) Zbl 0642.10039 Acta Arith. 49, No. 2, 127-139 (1987). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{P. D. T. A. Elliott}, Acta Arith. 49, No. 2, 127--139 (1987; Zbl 0642.10039) Full Text: DOI EuDML
Hensley, Douglas The distribution of \(\Omega(n)\) among numbers with no large prime factors. (English) Zbl 0626.10037 Analytic number theory and diophantine problems, Proc. Conf., Stillwater/Okla. 1984, Prog. Math. 70, 247-281 (1987). Reviewer: Aleksandar Ivić (Beograd) MSC: 11N60 11N25 PDFBibTeX XML
Hildebrand, Adolf Recent progress in probabilistic number theory. (English) Zbl 0624.10045 Journées arithmétiques, Besançon/France 1985, Astérisque 147/148, 95-106 (1987). Reviewer: B.V.Levin MSC: 11K65 60F05 11N37 PDFBibTeX XML
Mauclaire, Jean Loup Sur une inégalité de la théorie probabiliste des nombres. (On an inequality in probabilistic number theory). (French) Zbl 0621.10038 Proc. Japan Acad., Ser. A 63, 134-137 (1987). Reviewer: A.Hildebrand MSC: 11K65 PDFBibTeX XMLCite \textit{J. L. Mauclaire}, Proc. Japan Acad., Ser. A 63, 134--137 (1987; Zbl 0621.10038) Full Text: DOI
Elliott, P. D. T. A. Functional analysis and additive arithmetic functions. (English) Zbl 0621.10034 Bull. Am. Math. Soc., New Ser. 16, 179-223 (1987). Reviewer: A.Hildebrand MSC: 11N37 11K65 47B99 PDFBibTeX XMLCite \textit{P. D. T. A. Elliott}, Bull. Am. Math. Soc., New Ser. 16, 179--223 (1987; Zbl 0621.10034) Full Text: DOI
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
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)
Ruzsa, Imre Z. Generalized moments of additive functions. (English) Zbl 0524.10042 J. Number Theory 18, 27-33 (1984). MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{I. Z. Ruzsa}, J. Number Theory 18, 27--33 (1984; Zbl 0524.10042) Full Text: DOI
Ruzsa, I. Z. On the variance of additive functions. (English) Zbl 0519.10045 Studies in Pure Mathematics, Mem. of P. Turán, 577-586 (1983). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11N64 11K65 PDFBibTeX XML
Shapiro, Harold N. On the Erdős-Wintner theorem of probabilistic number theory. (English) Zbl 0515.10045 Commun. Pure Appl. Math. 36, 665-678 (1983). MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{H. N. Shapiro}, Commun. Pure Appl. Math. 36, 665--678 (1983; Zbl 0515.10045) Full Text: DOI
Hildebrand, Adolf Sur les moments d’une fonction additive. (French) Zbl 0486.10043 Ann. Inst. Fourier 33, No. 3, 1-22 (1983). MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{A. Hildebrand}, Ann. Inst. Fourier 33, No. 3, 1--22 (1983; Zbl 0486.10043) Full Text: DOI Numdam EuDML
Alladi, Krishnaswami Additive functions and special sets of integers. (English) Zbl 0487.10044 Number theory, Proc. 3rd Matsci. Conf., Mysore/India 1981, Lect. Notes Math. 938, 1-49 (1982). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11K65 11N60 PDFBibTeX XML
Alladi, Krishnaswami The Turán-Kubilius inequality for integers without large prime factors. (English) Zbl 0483.10050 J. Reine Angew. Math. 335, 180-196 (1982). Reviewer: Krishnaswami Alladi MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{K. Alladi}, J. Reine Angew. Math. 335, 180--196 (1982; Zbl 0483.10050) Full Text: DOI Crelle EuDML
Coquet, Jean On a result of I. Kátai. (English) Zbl 0487.10046 Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 190, 1-12 (1981). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{J. Coquet}, Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 190, 1--12 (1981; Zbl 0487.10046)
Ruzsa, I. Z. On the concentration of additive functions. (English) Zbl 0471.10034 Acta Math. Acad. Sci. Hung. 36, 215-232 (1980). MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{I. Z. Ruzsa}, Acta Math. Acad. Sci. Hung. 36, 215--232 (1980; Zbl 0471.10034) Full Text: DOI
Elliott, P. D. T. A. On the differences of additive functions. II. (English) Zbl 0446.10044 Acta Arith. 37, 249-256 (1980). MSC: 11K65 PDFBibTeX XMLCite \textit{P. D. T. A. Elliott}, Acta Arith. 37, 249--256 (1980; Zbl 0446.10044) Full Text: DOI EuDML
Elliott, P. D. T. A. High-power analogues of the Turan-Kubilius inequality, and an application to number theory. (English) Zbl 0444.10051 Can. J. Math. 32, 893-907 (1980). MSC: 11K65 PDFBibTeX XMLCite \textit{P. D. T. A. Elliott}, Can. J. Math. 32, 893--907 (1980; Zbl 0444.10051) Full Text: DOI
Tenenbaum, Gérald Cours de théorie analytique des nombres. (French) Zbl 0526.10001 Laboratoire de Théorie des Nombres. Laboratoire de Recherche associé au C.N.R.S. No. 226. Talence: Université de Bordeaux I. U.E.R. de Mathématique et d’Informatique. V, 217 p. (1979). MSC: 11-02 11-01 11Mxx 11M06 11A41 11N05 11N37 11A25 11K65 PDFBibTeX XML
Duncan, R. L. Note on a class of arithmetical functions. (English) Zbl 0107.03803 Am. Math. Mon. 69, 991-992 (1962). Reviewer: p MSC: 11N37 PDFBibTeX XMLCite \textit{R. L. Duncan}, Am. Math. Mon. 69, 991--992 (1963; Zbl 0107.03803) Full Text: DOI