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arXiv · 1910.10569

Exponential sums of the M\"{o}bius function and flat polynomials

el Houcein el Abdalaoui
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Abstract

We present an elementary problem on analytic polynomials with coefficients $\pm 1$ or in $\{0,\pm 1 \}$ which implies Riemann hypothesis. It is turns out that this problem is a particular case of the weak form of a flat polynomials problem asked by Erd\"os in his 1957's paper. We provide also under an extra-condition the converse.

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el Houcein el Abdalaoui. 2019-10-23. Exponential sums of the M\"{o}bius function and flat polynomials. https://arxiv.org/abs/1910.10569

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