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arXiv:1509.03863 [math.CA]AbstractReferencesReviewsResources

Convergence of families of Dirichlet series

Gunther Cornelissen, Aristides Kontogeorgis

Published 2015-09-13Version 1

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.

Comments: 15 pages, 1 figure
Categories: math.CA
Subjects: 11F66, 30B50, 11M36
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