A generalization of Halász's theorem to Beurling's generalized integers and its application

zbMath0612.10039MaRDI QIDQ1087909

Wen-Bin Zhang

Publication date: 1987

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

prime number theoremcompletely multiplicative functionHalász's theoremBeurling's generalized integers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of primes (11N05) Generalized primes and integers (11N80)

Related Items (10)

Halász’s theorem for Beurling numbers ⋮ The average order of the Möbius function for Beurling primes ⋮ Exact Wiener–Ikehara theorems ⋮ On sums over the Möbius function and discrepancy of fractions ⋮ Completely multiplicative functions with sum zero over generalised prime systems ⋮ Halász's theorem for Beurling generalized numbers ⋮ Unnamed Item ⋮ M(x)=o(x) Estimates for Beurling numbers ⋮ Explicit average orders: news and problems ⋮ Beurling numbers whose number of prime factors lies in a specified residue class

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