On sums of gcd-sum functions
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Publication:5877899
DOI10.1142/S179304212350029XOpenAlexW4287960616WikidataQ113776607 ScholiaQ113776607MaRDI QIDQ5877899
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
Riemann hypothesisEuler totient functionasymptotic results on arithmetical functionsDirichlet's divisor problemgcd-sum functionssimplicity conjecture of the Riemann zeta-function
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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