Plana's summation formula as a modular relation and applications

DOI10.1080/10652469.2011.574848zbMath1250.11082OpenAlexW2130423129MaRDI QIDQ2880454

Shigeru Kanemitsu, Xiaohan Wang, Hai-Long Li

Publication date: 13 April 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.574848

zbMATH Keywords

gamma functionfunctional equationintegral representationRiemann zeta-functionHurwitz zeta-functionBinet's formula

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Hurwitz and Lerch zeta functions (11M35) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

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• On the Chowla–Selberg integral formula for non-holomorphic Eisenstein series
• Asymptotics for the mean value of normalized zeta-functions of certain cusp forms
• Evaluation of Spannenintegrals of the product of zeta-functions

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