A Wiener-Ikehara type theorem and its application to Chebyshev bounds for Beurling primes

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Yarne Tranoy, Jasson Vindas
Cited by: 0

Abstract

We provide a new version of the Wiener-Ikehara theorem where one deduces bounds $$ 0< \liminf_{x\to\infty} \frac{S(x)}{e^{x}}\leq \limsup_{x\to\infty} \frac{S(x)}{e^{x}}

Fields of Study & Subjects

Analytic Number Theory Research Approximation Theory and Sequence Spaces Meromorphic and Entire Functions

Publication details

Journal / source
arXiv (Cornell University)
Publication date
7 February 2026
Language
EN
Document type
Preprint