Functional equations for double series of Euler-Hurwitz-Barnes type with coefficients
Number Theory
2014-03-11 v1
Abstract
We first survey the known results on functional equations for the double zeta-function of Euler type and its various generalizations. Then we prove two new functional equations for double series of Euler-Hurwitz-Barnes type with complex coefficients. The first one is of general nature, while the second one is valid when the coefficients are Fourier coefficients of a cusp form.
Cite
@article{arxiv.1403.1940,
title = {Functional equations for double series of Euler-Hurwitz-Barnes type with coefficients},
author = {YoungJu Choie and Kohji Matsumoto},
journal= {arXiv preprint arXiv:1403.1940},
year = {2014}
}
Comments
17pages