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VOL. 84 | 2020 Complete asymptotic expansions associated with various zeta-functions
Masanori Katsurada

Editor(s) Hidehiko Mishou, Takashi Nakamura, Masatoshi Suzuki, Yumiko Umegaki

Adv. Stud. Pure Math., 2020: 205-262 (2020) DOI: 10.2969/aspm/08410205

Abstract

Professor Kohji Matsumoto and the author have started our collaborative research since around the end of 1980's. We revisit/review in this paper chronologically the results and recent progress, coming from our collaborative research especially into complete asymptotic expansions associated with various zeta-functions.

Information

Published: 1 January 2020
First available in Project Euclid: 27 May 2020

zbMATH: 07283187

Digital Object Identifier: 10.2969/aspm/08410205

Subjects:
Primary: 11E45 , 11E45 , 11M06 , 11M35
Secondary: 11F11 , 11M32 , 11M36 , 11P82

Keywords: $q$-series , asymptotic expansion , Dirichlet $L$-function , Eisenstein series , Epstein zeta-function , Hurwitz and Lerch zeta-functions , mean square , Mellin-Barnes integral , Riemann zeta-function

Rights: Copyright © 2020 Mathematical Society of Japan

PROCEEDINGS ARTICLE
58 PAGES

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