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Exponential sums with multiplicative coefficients. (English) Zbl 0362.10036


MSC:

11N37 Asymptotic results on arithmetic functions
11L03 Trigonometric and exponential sums (general theory)
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References:

[1] Daboussi, H.: Fonctions multiplicatives presque périodiques B. D’après un travail commun avec Hubert Delange. Journées Arithmétique de Bordeaux (Conf. Univ. Bordeaux, 1974), 321-324. Astérisque, 24-25. Soc. Math France, Paris, 1975. See also Daboussi, H., Delange, H.: Quelques propriétés des fonctions multiplicatives de module au plus égal à 1, C.R. Acad. Sci. Paris Ser. A278, 657-660 (1974)
[2] Davenport, H.: On some infinite series involving arithmetical functions (II). Quart. J. Math.8, 313-320 (1937) · JFM 63.0906.01 · doi:10.1093/qmath/os-8.1.313
[3] Davenport, H.: Multiplicative number theory. Chicago: Markham, 1966
[4] Halász, G.: On the distribution of additive and the mean values of multiplicative arithmetic functions. Studia Sci. Math. Hungar.6, 211-233 (1971) · Zbl 0226.10046
[5] Halberstam, H., Richert, H.-E.: Sieve methods. London: Academic Press 1974 · Zbl 0298.10026
[6] Hardy, G.H., Wright, E.M.: An introduction to the theory of numbers, 4th ed. London: Oxford University Press 1962 · Zbl 0020.29201
[7] Littlewood, J.E.: On the class number of the corpus 82-1. Proc. London Math. Soc.27, 358-372 (1928) · JFM 54.0206.02 · doi:10.1112/plms/s2-27.1.358
[8] Paley, R.E.A.C.: A theorem on characters. J. London Math. Soc.7, 28-32 (1932) · Zbl 0003.34101 · doi:10.1112/jlms/s1-7.1.28
[9] Pólya, G.: Über die Verteilung der quadratischen Reste und Nichtreste. Göttinger Nachrichten 1918, pp. 21-29 · JFM 46.0265.02
[10] Vinogradov, I.M.: Über die Verteilung der quadratischen Reste und Nichtreste. J. Soc. Phys. Math. Univ. Permi2, 1-14 (1919) · JFM 48.1352.04
[11] Vinogradov, I.M.: The method of trigonometrical sums in the theory of numbers. New York: Interscience 1954 · Zbl 0055.27504
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