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Functional equations for double series of Euler type with coefficients SCIE SCOPUS

Title
Functional equations for double series of Euler type with coefficients
Authors
Choie, YMatsumoto, K
Date Issued
2016-04-09
Publisher
Elsevier
Abstract
We prove two types of functional equations for double series of Euler type with complex coefficients. The first one is a generalization of the functional equation for the Euler double zeta-function, proved in a former work of the second-named author. The second one is more specific, which is proved when the coefficients are Fourier coefficients of cusp forms and the modular relation is essentially used in the course of the proof. As a consequence of functional equation we are able to determine trivial zero divisors. (C) 2016 Elsevier Inc. All rights reserved.
URI
https://oasis.postech.ac.kr/handle/2014.oak/36480
DOI
10.1016/J.AIM.2016.01.016
ISSN
0001-8708
Article Type
Article
Citation
Advances in Mathematics, vol. 292, no. 9, page. 529 - 557, 2016-04-09
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최영주CHOIE, YOUNG JU
Dept of Mathematics
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