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Convergence of families of Dirichlet series

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.

preprint2015arXivOpen access
Gunther CornelissenAristides Kontogeorgis
math.CA
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Open access2 authors1 topic
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Gunther CornelissenAristides Kontogeorgis

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