Selberg's symmetry formula

Expo. Math. 22 (2004), no. 2, 185–195 (DOI).

Abstract

This article discusses the structure of Selberg's elementary proof of his ‘Symmetry Formula’ in terms of analytic number theory. In particular, we use a measure-theoretic framework to examine how each step of the elementary argument encodes analytic information about ζ(s) and related functions.


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