On Ramanujan sums of a real variable and a new Ramanujan expansion for the divisor function

DOI10.1007/s11139-021-00412-zzbMath1503.11009arXiv2010.10689OpenAlexW3158389469MaRDI QIDQ2127850

Matthew S. Fox, Chaitanya Karamchedu

Publication date: 21 April 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.10689

zbMATH Keywords

divisor functionRamanujan sumsRamanujan expansions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gauss and Kloosterman sums; generalizations (11L05) Arithmetic functions; related numbers; inversion formulas (11A25) Rate of growth of arithmetic functions (11N56) Primes (11A41)

Cites Work

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• Moments of averages of generalized Ramanujan sums
• Arithmetical functions associated with the unitary divisors of an integer
• Ramanujan expansions of arithmetic functions of several variables
• On the polynomial Ramanujan sums over finite fields
• On generalized Ramanujan primes
• Explicit formulas of a generalized Ramanujan sum
• A SURVEY OF RAMANUJAN EXPANSIONS

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