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On the mean value of \(|L(1,\chi)|^2\) for odd primitive Dirichlet characters

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Publication:1969189
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DOI10.3792/pjaa.75.143zbMath0947.11025OpenAlexW1993878201MaRDI QIDQ1969189

Stéphane R. Louboutin

Publication date: 12 November 2000

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.75.143


zbMATH Keywords

\(L\)-functionsDirichlet characters


Mathematics Subject Classification ID

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


Related Items (7)

On the mean square average of Dirichlet \(L\)-function over characters of odd parity in a special case ⋮ Mean values of Goss \(L\)-functions and Dedekind sums ⋮ Mean values of \(L\)-functions and Dedekind sums ⋮ The discrete mean square of Dirichlet \(L\)-function at integral arguments ⋮ On the mean values of Dirichlet \(L\)-functions ⋮ Upper bounds on relative class numbers of cyclotomic fields ⋮ Manifestations of the Parseval identity



Cites Work

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  • Corrections à: Quelques Formules Exactes Pour des Moyennes de Fonctions L de Dirichlet
  • Quelques Formules Exactes Pour des Moyennes de Fonctions L de Dirichlet


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