The first moment of quadratic Dirichlet L-functions

DOI10.4064/aa138-1-4zbMath1209.11080arXiv0804.4141OpenAlexW2962891574MaRDI QIDQ3630875

Matthew P. Young

Publication date: 5 June 2009

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.4141

zbMATH Keywords

weighted momentquadratic \(L\)-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Estimates on character sums (11L40)

Related Items (18)

Weighted first moments of some special quadratic Dirichlet $L$-functions ⋮ First moments of some Hecke \(L\)-functions of prime moduli ⋮ First moment of central values of quadratic Hecke L-functions in the Gaussian field ⋮ Ratios conjecture for quadratic Hecke \(L\)-functions in the Gaussian field ⋮ On the Northcott property of Dedekind zeta functions ⋮ The third moment of quadratic Dirichlet \(L\)-functions ⋮ Mean values with cubic characters ⋮ The fourth moment of quadratic Dirichlet \(L\)-functions ⋮ Conjectures and Experiments Concerning the Moments ofL(1/2, χ_d) ⋮ Moments of quadratic Hecke \(L\)-functions of imaginary quadratic number fields ⋮ Mean value of the class number in function fields revisited ⋮ Moments of central values of quartic Dirichlet \(L\)-functions ⋮ Moments of central values of cubic Hecke \(L\)-functions of \(\mathbb{Q}(i)\) ⋮ First moment of Hecke \(L\)-functions with quartic characters at the central point ⋮ A note on the mean value of \(L(\frac{1}{2}, \chi)\) in the real hyperelliptic ensemble ⋮ The second moment of quadratic Dirichlet \(L\)-functions ⋮ Moments of quadratic Dirichlet \(L\)-functions over function fields ⋮ The first moment of quadratic twists of modular $L$-functions

This page was built for publication: The first moment of quadratic Dirichlet L-functions