The distribution of the zeros of \(L\)-functions and the least prime in some arithmetic progression

DOI10.1007/BF02879799zbMath1014.11055OpenAlexW2232768835MaRDI QIDQ1609570

Zaizhao Meng

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02879799

zbMATH Keywords

primesarithmetic progressionDirichlet \(L\)-functionzero-free regionprime modulusLinnik's constant

Mathematics Subject Classification ID

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

Related Items (2)

The smallest prime that splits completely in an abelian number field ⋮ On the least prime primitive root

Cites Work

• Unnamed Item
• SIEGEL ZEROS AND THE LEAST PRIME IN AN ARITHMETIC PROGRESSION
• On the least prime in an arithmetic progression
• A numerical bound for small prime solutions of some ternary linear equations
• Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression
• A note on the least prime in an arithmetic progression with a prime difference

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