Refinements to the prime number theorem for arithmetic progressions

DOI10.1007/s00209-023-03414-3arXiv2108.10878OpenAlexW3196258231MaRDI QIDQ6123044

Asif Zaman, Jesse Thorner

Publication date: 4 March 2024

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

Full work available at URL: https://arxiv.org/abs/2108.10878

zbMATH Keywords

primes in arithmetic progressionsLinnik's theoremlog-free zero density estimateHoheisel's theoremzero repulsion

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Primes in congruence classes (11N13) Sieves (11N35)

Cites Work

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• Explicit zero-free regions for Dirichlet L-functions
• On zeros of Dirichlet's \(L\)-series
• A large sieve density estimate near \(\sigma = 1\)
• Pretentious multiplicative functions and the prime number theorem for arithmetic progressions
• Large values of Dirichlet polynomials, III
• The large sieve
• On Linnik's constant.
• Prime numbers with a positive proportion of preassigned digits
• Numerical computations concerning the GRH

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