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arXiv · 2201.08898

The Weak Gram Law for Hecke $L$-functions

Sebastian Weishäupl
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Abstract

We generalize a theorem by Titchmarsh about the mean value of Hardy's $Z$-function at the Gram points to the Hecke $L$-functions, which in turn implies the weak Gram law for them. Instead of proceeding analogously to Titchmarsh with an approximate functional equation we employ a different method using contour integration.

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Sebastian Weishäupl. 2022-01-21. The Weak Gram Law for Hecke $L$-functions. https://arxiv.org/abs/2201.08898

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