Double Dirichlet series associated with arithmetic functions

Abstract

We consider double Dirichlet series associated with arithmetic functions such as the von Mangoldt function, the Möbius function, and so on. We show analytic continuations of them by use of the Mellin-Barnes integral. Furthermore we observe their reverse values at non-positive integer points.

16 pages

References in corpus (1)

• Laurent series expansions of multiple zeta-functions of Euler-Zagier type at integer points