On General Prime Number Theorems with Remainder

DOI10.1007/978-3-319-51911-1_6zbMath1402.11118arXiv1601.05324OpenAlexW3100825640MaRDI QIDQ4607775

Gregory Debruyne, Jasson Vindas

Publication date: 14 March 2018

Published in: Generalized Functions and Fourier Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05324

zbMATH Keywords

Laplace transformsprime number theoremTauberian theoremszeta functionsBeurling generalized integersBeurling generalized primes

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25) Distribution of primes (11N05)

Related Items (2)

On PNT equivalences for Beurling numbers ⋮ Note on the absence of remainders in the Wiener-Ikehara theorem

Cites Work

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• Extensions of Beurling's prime number theorem
• Generalised prime systems with periodic integer counting function
• The structure of quasiasymptotics of Schwartz distributions
• Structural theorems for quasiasymptotics of distributions at infinity

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