Density and O-density of Beurling generalized integers

DOI10.1016/0022-314X(88)90012-1zbMath0677.10032MaRDI QIDQ1123227

Wen-Bin Zhang

Publication date: 1988

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

prime number theoremTauberian theoremBeurling generalized primes

Mathematics Subject Classification ID

Turán theory (11N30) Generalized primes and integers (11N80)

Related Items (1)

Beurling zeta functions, generalised primes, and fractal membranes

Cites Work

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• Das asymptotische Verhalten von Summen über multiplikative Funktionen
• The prime number theorem for Beurling's generalized numbers
• Asymptotic distribution of Beurling's generalized integers
• A set of generalized numbers showing Beurling's theorem to be sharp
• A Mean-Value Theorem for Multiplicative Functions
• When do Beurling generalized integers have a density?
• Über die Mittelwerte multiplikativer zahlentheoretischer Funktionen
• Das asymptotische Verhalten von Summen über multiplikative Funktionen. II
• Sur les fonctions arithmétiques multiplicatives

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