On Müntz-type formulas related to the Riemann zeta function

DOI10.1016/J.JMAA.2018.03.029zbMath1429.11156arXiv1705.09386OpenAlexW2963504277MaRDI QIDQ1746774

Hélder Lima

Publication date: 25 April 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09386

zbMATH Keywords

Mellin transformRiemann zeta functionDirichlet seriesEuler gamma functionarithmetic functionsMüntz-type formulas

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Cites Work

• Unnamed Item
• A zero-density theorem for the Riemann zeta-function
• New summation and transformation formulas of the Poisson, Müntz, Möbius and Voronoi type
• Integral and series transformations via Ramanujan's identities and Salem's type equivalences to the Riemann hypothesis

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