On sums of gcd-sum functions

DOI10.1142/S179304212350029XOpenAlexW4287960616WikidataQ113776607 ScholiaQ113776607MaRDI QIDQ5877899

Shōta Inoue, Isao Kiuchi

Publication date: 16 February 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179304212350029x

zbMATH Keywords

Riemann hypothesisEuler totient functionasymptotic results on arithmetical functionsDirichlet's divisor problemgcd-sum functionssimplicity conjecture of the Riemann zeta-function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Additive number theory; partitions (11P99)

Cites Work

• On the average orders of the error term in the Dirichlet divisor problem
• Divisor problems and exponent pairs
• An explicit formula for sums of Ramanujan type sums
• On the mean-square of the Riemann zeta-function on the critical line
• On arithmetical functions related to the Ramanujan sum
• Sums of averages of generalized Ramanujan sums
• On sums of averages of generalized Ramanujan sums
• The number of pairs of integers with L.C.M. \( \leq x\)
• Arithmetical properties of generalized Ramanujan sums
• The evaluation of Ramanujan's sum and generalizations
• Partial sums of the Möbius function
• On Negative Moments of the Riemann Zeta‐Function
• Sums of weighted averages of gcd-sum functions
• Relations among some conjectures on the Möbius function and the Riemann zeta-function
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