A generalized Davenport expansion

DOI10.1017/S0013091521000468zbMath1483.11174arXiv2005.08279OpenAlexW3197720289MaRDI QIDQ5159391

Alexander E. Patkowski

Publication date: 27 October 2021

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08279

zbMATH Keywords

Riemann zeta functionFourier seriesDavenport expansions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Sums over primes (11L20) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Cites Work

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• Mellin transforms with only critical zeros: Legendre functions
• On some Diophantine Fourier series
• On some integrals involving the Hurwitz zeta function. I
• On an identity between infinite series of arithmetic functions
• ARITHMETICAL FOURIER SERIES AND THE MODULAR RELATION
• On Popov's formula involving the Von Mangoldt function
• Some Special Trigonometrical Series Related To the Distribution of Prime Numbers

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