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On Mordell–Tornheim double Eisenstein series.

Authors :
Wang, Weijia
Zhang, Hao
Source :
Research in Number Theory. 8/10/2020, Vol. 6 Issue 3, p1-20. 20p.
Publication Year :
2020

Abstract

Inspired by the Mordell–Tornheim double zeta function, in this paper, we introduce the Eisenstein series of Mordell–Tornheim type. Based on the theory of Cohen series and partial fraction decomposition, we explicitly compute these series. We end by discussing several identities about products of Eisenstein series and their Fourier expansions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25220160
Volume :
6
Issue :
3
Database :
Academic Search Index
Journal :
Research in Number Theory
Publication Type :
Academic Journal
Accession number :
145078738
Full Text :
https://doi.org/10.1007/s40993-020-00208-y