Functional equations for double series of Euler-Hurwitz-Barnes type with coefficients

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.

17pages

References in corpus (2)

• Desingularization of complex multiple zeta-functions, fundamentals of $p$-adic multiple $L$-functions, and evaluation of their special values
• Functional equations for double series of Euler type with coefficients

Cited by in corpus (1)

• A survey on the theory of multiple Dirichlet series with arithmetical coefficients on the numerators