The discrete mean square of Dirichlet \(L\)-function at integral arguments

DOI10.3792/PJAA.86.149zbMath1220.11102OpenAlexW2009048837MaRDI QIDQ632991

Guodong Liu, Xiaohan Wang, Nian Liang Wang

Publication date: 29 March 2011

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.86.149

zbMATH Keywords

Dirichlet \(L\)-functiondiscrete mean square

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (3)

Summation formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ A new formula of products of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Multiplication formulas for Kubert functions

Cites Work

• On the discrete mean value of the product of two Dirichlet \(L\)-functions
• On the discrete mean square of Dirichlet \(L\)-functions at 1
• On the mean value of \(|L(1,\chi)|^2\) for odd primitive Dirichlet characters
• Manifestations of the Parseval identity
• On Gauss' formula for \(\psi\) and finite expressions for the \(L\)-series at 1
• The mean value of |L(k,χ)|²at positive rational integers k≥1
• Quelques Formules Exactes Pour des Moyennes de Fonctions L de Dirichlet
• The mean values of Dirichlet L-functions at integer points and class numbers of cyclotomic fields
• Evaluation of Spannenintegrals of the product of zeta-functions
• On the mean value of L(m,χ)L(n,χ) at positive integers m,n≥1
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