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arXiv · 2004.10086

An exponentially averaged Vasyunin formula

Sébastien Darses·Erwan Hillion
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Abstract

We prove a Vasyunin-type formula for an autocorrelation function arising from a Nyman-Beurling criterion generalized to a probabilistic framework. This formula can also be seen as a reciprocity formula for cotangent sums, related to the ones proven in [BC13], [ABB17].

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Sébastien Darses, Erwan Hillion. 2020-04-20. An exponentially averaged Vasyunin formula. https://arxiv.org/abs/2004.10086

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