A twisted quadratic moment for Dirichlet $L$-functions

DOI10.1090/S0002-9939-2014-11721-7zbMath1314.11055OpenAlexW1982037389MaRDI QIDQ5401497

Stéphane R. Louboutin

Publication date: 13 March 2014

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-11721-7

zbMATH Keywords

momentscharacter\(L\)-functionmean values

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20)

Related Items (8)

The twisted moments and distribution of values of Dirichlet \(L\)-functions at 1 ⋮ Unnamed Item ⋮ Mean square value of \(L\)-functions at \(s=1\) for non-primitive characters, Dedekind sums and bounds on relative class numbers ⋮ On the mean values of Dirichlet \(L\)-functions ⋮ On the twisted quadratic moment for Dirichlet \(L\)-functions ⋮ On the reciprocity law for the twisted second moment of Dirichlet $L$-functions ⋮ Identities involving trigonometric functions and Bernoulli numbers ⋮ The mean value of the generalized Dirichlet L-functions with the weight of the Gauss sums

Cites Work

• Unnamed Item
• Mean values of \(L\)-functions and Dedekind sums
• An exact formula for an average of L-series
• Mean values of L-functions and relative class numbers of cyclotomic fields
• ON THE MEAN VALUES OF L(1, χ)
• Quelques Formules Exactes Pour des Moyennes de Fonctions L de Dirichlet
• On the mean value of L(m,χ)L(n,χ) at positive integers m,n≥1

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