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Multiplicative functions on arithmetic progressions

  • P. D. T. A. Elliott (a1)

In this paper I show that complex-valued multiplicative functions g which satisfy |g(n)|≤1 for all positive integers n, are generally well distributed in residue classes to small moduli.

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1.Elliott P. D. T. A.. Probabilistic Number Theory I: Mean-Value Theorems, II: Central Limit Theorems. Grund. der math. Wiss. 239, 240, (Springer, New York, 1979, 1980).
2.Halász G.. On the distribution of additive arithmetic functions. Acta Arilhmetica, 27 (1975), 143152.
3.Halasz G.. On the distribution of additive and the mean values of multiplicative arithmetic functions. Studia Scient. Math. Hungarica, 6 (1971), 211233.
4.Wirsing E.. Das asymptotische Verhalten von Summen über multiplikative Funktionen, II. Acta Math. Acad. Sci. Hung., 18 (1967), 411467.
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  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
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