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arXiv · 1705.09921

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

Helmut Maier·Michael Th. Rassias
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Abstract

We give an estimate for sums appearing in the Nyman-Beurling criterion for the Riemann Hypothesis containing the Möbius function. The estimate is remarkably sharp in comparison to estimates of other sums containing the Möbius function. The methods intensively use tools from the theory of continued fractions and from the theory of Fourier series.

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Helmut Maier, Michael Th. Rassias. 2017-05-28. Estimates of sums related to the Nyman-Beurling criterion for the Riemann Hypothesis. https://arxiv.org/abs/1705.09921

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