On various mean values of Dirichlet L-functions

DOI10.4064/AA167-2-1zbMath1388.11060OpenAlexW1977523804MaRDI QIDQ5496941

Tomokazu Onozuka, Takuya Okamoto

Publication date: 29 January 2015

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

Full work available at URL: https://doi.org/10.4064/aa167-2-1

zbMATH Keywords

mean valueEuler's functionJordan's totient functiondouble Dirichlet \(L\)-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Dedekind eta function, Dedekind sums (11F20)

Related Items (3)

The twisted moments and distribution of values of Dirichlet \(L\)-functions at 1 ⋮ On the mean square average of Dirichlet \(L\)-function over characters of odd parity in a special case ⋮ The mean value of the generalized Dirichlet L-functions with the weight of the Gauss sums

Cites Work

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• Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums
• On the mean square average of special values of \(L\)-functions
• On the mean values of Dedekind sums
• An exact formula for an average of L-series
• The mean value of |L(k,χ)|²at positive rational integers k≥1
• Quelques Formules Exactes Pour des Moyennes de Fonctions L de Dirichlet
• Averages of values of 𝐿-series
• On the mean value of L(m,χ)L(n,χ) at positive integers m,n≥1

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