# 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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