Mean-value theorems in arithmetic semigroups

DOI10.1023/A:1013813331610zbMath0996.11060MaRDI QIDQ700355

K. Reifenrath, Lutz G. Lucht

Publication date: 20 October 2002

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

prime number theoremarithmetic functionsmean-value theoremsarithmetic semigroupsabstract multiplicative number theory

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Arithmetic functions in probabilistic number theory (11K65) Generalized primes and integers (11N80)

Related Items (7)

On the signs of Fourier coefficients of Hilbert cusp forms ⋮ CONTRIBUTIONS TO ABSTRACT ANALYTIC NUMBER THEORY ⋮ An elemental Erdős–Kac theorem for algebraic number fields ⋮ Distribution of averages of Ramanujan sums ⋮ Mean behaviour of multiplicative functions on additive arithmetical semigroups ⋮ Halász's theorem for Beurling generalized numbers ⋮ Moments of averages of generalized Ramanujan sums

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