Chebyshev's bias against splitting and principal primes in global fields

DOI10.1016/j.jnt.2022.10.005OpenAlexW4221143201MaRDI QIDQ2112731

Miho Aoki, Shin-ya Koyama

Publication date: 11 January 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.12266

zbMATH Keywords

prime idealsChebyshev's biasRiemann hypothesiszeta functionsglobal fieldsDirichlet \(L\)-functionsdeep Riemann hypothesis

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Density theorems (11R45) Primes in congruence classes (11N13) Distribution of primes (11N05)

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Chebyshev's bias for Ramanujan's \(\tau\)-function via the deep Riemann hypothesis ⋮ A new aspect of Chebyshev’s bias for elliptic curves over function fields

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