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
