Statistics of the Zeros of Zeta Functions in a Family of Curves over a Finite Field

DOI10.1093/IMRN/RNQ015zbMath1200.14044OpenAlexW1996487160MaRDI QIDQ3053711

Maosheng Xiong

Publication date: 29 October 2010

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/31fa9743f5bc4c72f44b96ea1a907c8844b72baf

zbMATH Keywords

zeta functionscurves over finite fields

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Relations with random matrices (11M50)

Related Items (3)

Distribution of zeta zeroes for abelian covers of algebraic curves over a finite field ⋮ Statistics of Hecke eigenvalues for \(\mathrm{GL}(n)\) ⋮ Statistics for ordinary Artin-Schreier covers and other $p$-rank strata

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