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Sectio Computatorica

Volumes » Volume 48 (2018)

https://doi.org/10.71352/ac.48.117

A uniqueness theorem for entire functions having
a Dirichlet series representation

Nicola Oswald and Jörn Steuding

Abstract. Dirichlet series and their analytic properties play a central role in analytic number theory. We prove a variant of George Pólya's four point theorem, resp. Rolf Nevanlinna's five point theorem for a large class of functions representable as Dirichlet series in some right
half-plane.

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