On the mean value of L(m,χ)L(n,χ) at positive integers m,n≥1

DOI10.4064/aa122-1-5zbMath1108.11062OpenAlexW1995349372MaRDI QIDQ5478117

Huaning Liu, Wen Peng Zhang

Publication date: 30 June 2006

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

Full work available at URL: https://doi.org/10.4064/aa122-1-5

zbMATH Keywords

Dedekind sumsBernoulli numbersBernoulli polynomialsDirichlet \(L\)-functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Dedekind eta function, Dedekind sums (11F20)

Related Items (12)

Mean values of \(L\)-functions and Dedekind sums ⋮ The discrete mean square of Dirichlet \(L\)-function at integral arguments ⋮ Unnamed Item ⋮ On the mean values of Dirichlet \(L\)-functions ⋮ A twisted quadratic moment for Dirichlet $L$-functions ⋮ Averages of values of 𝐿-series ⋮ Manifestations of the Parseval identity ⋮ On the reciprocity law for the twisted second moment of Dirichlet $L$-functions ⋮ On the discrete mean value of the product of two Dirichlet \(L\)-functions ⋮ On various mean values of Dirichlet L-functions ⋮ On discrete mean values of Dirichlet $L$-functions ⋮ The mean value of the generalized Dirichlet L-functions with the weight of the Gauss sums

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