Average values of \(L\)-series for real characters in function fields

DOI10.1186/s40687-016-0087-4zbMath1355.11072arXiv1610.07352OpenAlexW2534969985WikidataQ59477100 ScholiaQ59477100MaRDI QIDQ335069

Hwanyup Jung, Sunghan Bae, Julio C. Andrade

Publication date: 2 November 2016

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07352

zbMATH Keywords

function fieldsfinite fieldsclass numberhyperelliptic curves\(K\)-groupsmoments of quadratic Dirichlet \(L\)-functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta and (L)-functions in characteristic (p) (11M38) Relations with random matrices (11M50)

Related Items (5)

Unnamed Item ⋮ Nonvanishing of hyperelliptic zeta functions over finite fields ⋮ Average values of \(L\)-functions in even characteristic ⋮ The moments and statistical distribution of class number of primes over function fields ⋮ Non-vanishing of $L$-functions for cyclotomic characters in function fields

Cites Work

• Conjectures for the integral moments and ratios of \(L\)-functions over function fields
• The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble
• Average values of \(L\)-functions in characteristic two
• The genus fields of Artin-Schreier extensions
• Revisiting Gauss's analogue of the prime number theorem for polynomials over a finite field
• Mean values of L-functions associated to elliptic, Fermat and other curves at the centre of the critical strip
• Average value of \(| K_ 2({\mathcal O})|\) in function fields
• On class number relations in characteristic two
• On the distribution of the values of quadratic L-series in the half-plane \(\sigma > 1/2\)
• Mean value theorems for L-functions over prime polynomials for the rational function field
• A NOTE ON THE MEAN VALUE OF L-FUNCTIONS IN FUNCTION FIELDS
• Traces of high powers of the Frobenius class in the hyperelliptic ensemble
• On the Mean Value of L(1/2, χ ) FW Real Characters
• Average values of L-series in function fields.
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Average values of \(L\)-series for real characters in function fields