Beurling primes with RH and Beurling primes with large oscillation

DOI10.1007/S00208-006-0051-5zbMath1121.11061OpenAlexW2091424942MaRDI QIDQ877165

Wen-Bin Zhang

Publication date: 19 April 2007

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-006-0051-5

zbMATH Keywords

Beurling primes

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Distribution of primes (11N05) Generalized primes and integers (11N80)

Related Items (11)

Composition operators and generalized primes ⋮ Beurling integers with RH and large oscillation ⋮ Multiplicative functions with sum zero over Beurling generalized prime number systems ⋮ Density estimates for the zeros of the Beurling ζ function in the critical strip ⋮ THE OPTIMAL MALLIAVIN-TYPE REMAINDER FOR BEURLING GENERALIZED INTEGERS ⋮ The average order of the Möbius function for Beurling primes ⋮ Completely multiplicative functions with sum zero over generalised prime systems ⋮ Note on a conjecture of Bateman and diamond concerning the abstract PNT with Malliavin-type remainder ⋮ Mean-value theorems and extensions of the Elliott-Daboussi theorem on Beurling's generalized integers. I ⋮ Asymptotic distribution of Beurling integers ⋮ An example in Beurling's theory of generalised primes

Cites Work

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• Beurling primes with large oscillation
• Analyse de la loi asymptotique de la distribution des nombres premiers généralises

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