On arithmetic series involving the fractional part function

DOI10.21099/tkbjm/20224601145zbMath1497.11192arXiv1708.00115OpenAlexW4297900626MaRDI QIDQ2080662

Alexander E. Patkowski

Publication date: 10 October 2022

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00115

zbMATH Keywords

primesRiemann zeta functionvon Mangoldt function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Sums over primes (11L20)

Cites Work

• On some Diophantine Fourier series
• 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
• Number Theory
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