Exponential sums of the Möbius function and flat polynomials

Exponential sums of the Möbius function and flat polynomials

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 provi...

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Veröffentlicht in:arXiv.org 2022-01
1. Verfasser: el Houcein el Abdalaoui
Format: Artikel
Sprache:eng
Schlagworte:
Hypotheses
Mathematical analysis
Polynomials
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Zusammenfassung: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.
ISSN:2331-8422