Zeta invariants for Dirichlet series

Mauro Spreafico

Vol. 224 (2006), No. 1, 185–200

DOI: 10.2140/pjm.2006.224.185

Abstract

We introduce a general method for obtaining the main zeta invariants for a class of double series of Dirichlet type and we apply it to the case of homogeneous quadratic and linear double series.

Keywords

zeta functions, Dirichlet series, Kronecker limit formula

Mathematical Subject Classification 2000

Primary: 11R42, 11M36

Secondary: 11M41

Milestones

Received: 9 July 2002

Revised: 27 January 2005

Accepted: 19 November 2005

Published: 1 March 2006