Convergence of families of Dirichlet series
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🧮 math.CA
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convergencedirichletseriessomegiveanotherapplicationsarise
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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.
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