Convergence of families of Dirichlet series
Classical Analysis and ODEs
2015-09-15 v1
Abstract
We give some conditions under which (uniform) convergence of a family of Dirichlet series to another Dirichlet series implies the convergence of their individual coefficients and/or exponents. We give some applications to some spectral zeta functions that arise in Riemannian geometry and physics.
Keywords
Cite
@article{arxiv.1509.03863,
title = {Convergence of families of Dirichlet series},
author = {Gunther Cornelissen and Aristides Kontogeorgis},
journal= {arXiv preprint arXiv:1509.03863},
year = {2015}
}
Comments
15 pages, 1 figure