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An exponentially averaged Vasyunin formula

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arxiv 2004.10086 v1 pith:WZ5UAQO7 submitted 2020-04-20 math.NT

Sébastien Darses , Erwan Hillion This is my paper · ORCID
classification math.NT
keywords formulaabb17arisingautocorrelationaveragedbc13cotangentcriterion
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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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  1. A few remarks on the Baez-Duarte Criterion

    math.NT 2026-07 unverdicted novelty 6.0 of 10

    Several lemmas related to the Báez-Duarte criterion for the Riemann Hypothesis are claimed to be derived.

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