The Large Sieve, Monodromy, and Zeta Functions of Algebraic Curves, 2: Independence of the Zeros

DOI10.1093/imrn/rnn091zbMath1233.14018arXiv0807.2118OpenAlexW2020488305MaRDI QIDQ3530045

Emmanuel Kowalski

Publication date: 15 October 2008

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

Full work available at URL: https://arxiv.org/abs/0807.2118

zbMATH Keywords

algebraic curves over finite fieldsroots of the \(L\)-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Applications of sieve methods (11N36) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Relations with random matrices (11M50)

Related Items

Mean-periodicity and zeta functions ⋮ Ultra-short sums of trace functions ⋮ Exceptional biases in counting primes over function fields ⋮ Roots of \(L\)-functions of characters over function fields, generic linear independence and biases ⋮ Limiting Properties of the Distribution of Primes in an Arbitrarily Large Number of Residue Classes ⋮ Chebyshev's bias for products of irreducible polynomials ⋮ Linear progress in the complex of curves ⋮ Eigenvalues of Frobenius endomorphisms of abelian varieties of low dimension ⋮ Chebyshev's bias in Galois extensions of global function fields

Uses Software

• Magma