Inequities in the Shanks–Renyi prime number race over function fields

DOI10.1112/mtk.12150arXiv2110.06669OpenAlexW3206340108WikidataQ114077795 ScholiaQ114077795MaRDI QIDQ6074964

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Publication date: 20 September 2023

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.06669

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) (zeta (s)) and (L(s, chi)) (11M06) Arithmetic theory of polynomial rings over finite fields (11T55) Zeta functions and (L)-functions of function fields (11R59)

Related Items (1)

Exceptional biases in counting primes over function fields

Cites Work

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• Chebyshev's bias in Galois extensions of global function fields
• Biases in the prime number race of function fields
• Vanishing of hyperelliptic \(L\)-functions at the central point
• Chebyshev's bias in dihedral and generalized quaternion Galois groups
• Roots of \(L\)-functions of characters over function fields, generic linear independence and biases
• Prime number races with three or more competitors
• Biases in the Shanks—Rényi Prime Number Race
• Prime number races for elliptic curves over function fields
• Chebyshev’s bias in function fields
• Chebyshev's conjecture and the prime number race
• On certain character sums over 𝔽_{𝕢}[𝕋]
• Chebyshev's Bias
• Inequities in the Shanks–Rényi prime number race: An asymptotic formula for the densities
• Limiting Properties of the Distribution of Primes in an Arbitrarily Large Number of Residue Classes
• Prime Number Races

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