Traces, high powers and one level density for families of curves over finite fields

DOI10.1017/S030500411700041XzbMath1451.11128arXiv1610.00164OpenAlexW2964314325MaRDI QIDQ4582993

Edgar Costa, Chantal David, David Lowry-Duda, Alina Bucur, João Nisan C. Guerreiro

Publication date: 27 August 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.00164

zbMATH Keywords

hyperelliptic curvescyclic \(\ell\)-coversfunction field Dirichlet \(L\)-functions

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Zeta functions and (L)-functions of function fields (11R59)

Related Items

The mean values of cubic \(L\)-functions over function fields, Local statistics for zeros of Artin-Schreier 𝐿-functions, Moments of traces of Frobenius of higher order Dirichlet $L$-functions over $\mathbb F_q[T$], On the third moment of \(L(\frac{1}{2}, \chi_d)\). I: The rational function field case, Expected value of high powers of trace of frobenius of biquadratic curves over a finite field, One Level Density for Cubic Galois Number Fields, Lower order terms for expected value of traces of Frobenius of a family of cyclic covers of ℙ𝔽q1 and one-level densities, Low-lying zeros of quadratic Dirichlet -functions: lower order terms for extended support

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