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Estimates of sums related to the Nyman-Beurling criterion for the Riemann Hypothesis

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arxiv 1705.09921 v1 pith:2EN6I7RN submitted 2017-05-28 math.CA

Helmut Maier , Michael Th. Rassias This is my paper · ORCID
classification math.CA
keywords sumscontainingcriterionestimateestimatesfunctionhypothesisnyman-beurling
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We give an estimate for sums appearing in the Nyman-Beurling criterion for the Riemann Hypothesis containing the M\"obius function. The estimate is remarkably sharp in comparison to estimates of other sums containing the M\"obius function. The methods intensively use tools from the theory of continued fractions and from the theory of Fourier series.

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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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