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A guide to Tauberian theorems for arithmetic applications

Pierce, Lillian B. et al.
arXiv (All) · Papers
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number-theory
A Tauberian theorem deduces an asymptotic for the partial sums of a sequence of non-negative real numbers from analytic properties of an associated Dirichlet series. Tauberian theorems appear in a tremendous variety of applications, ranging from well-known classical applications in analytic number t
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