Arithmetic and analysis of the series \(\sum_{n=1}^\infty \frac{1}{n} \sin \frac{x}{n}\)

DOI10.1007/s11785-021-01097-4zbMath1462.11067arXiv2009.14070OpenAlexW3156918880MaRDI QIDQ2033110

Ahmed Sebbar, Roger Gay

Publication date: 14 June 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.14070

zbMATH Keywords

Beurling's theoremarithmetic functionsHardy-Littlewood functionFranel integral

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Harmonic analysis and almost periodicity in probabilistic number theory (11K70) Arithmetic functions in probabilistic number theory (11K65)

Related Items

Harmonic Analysis of Some Arithmetical Functions ⋮ Arithmetic and analysis of the series \(\sum_{n=1}^{\infty} \frac{1}{n} \sin \frac{x}{n} \). II

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