JP Journal of Algebra, Number Theory and Applications
Volume 57, , Pages 23 - 37
(August 2022) http://dx.doi.org/10.17654/0972555522028 |
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ON THE p-FREE ROBIN INEQUALITIES FOR p = 3, 5, 7
Yoshihiro Koya
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Abstract: In this paper, we prove the analogous inequalities for the Robin inequality for prime numbers p = 3, 5, 7. That is, if B is some selected positive constant, then we have the inequalities such that for p-free integers n > 3.
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Keywords and phrases: Robin inequality, Riemann hypothesis.
Received: June 2, 2022; Revised: July 10, 2022; Accepted: July 19, 2022; Published: July 27, 2022
How to cite this article: Yoshihiro Koya, On the p-free Robin inequalities for p = 3, 5, 7, JP Journal of Algebra, Number Theory and Applications 57 (2022), 23-37. http://dx.doi.org/10.17654/0972555522028
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References: [1] T. Oshiro and Y. Koya, An analogue of the Robin inequality of the second type for odd integers, JP Journal of Algebra, Number Theory and Applications 56 (2022), 27-36. [2] G. Robin, Grandes valeurs de la fonction somme des diviseurs et Hypothèse de Riemann, J. Math. Pures and Appl. 63 (1984), 187-213. [3] L. Schoenfeld, Sharper bounds for the Chebyshev functions and II, Math. Comp. 30(134) (1976), 337-360. [4] C. L. Washington and A. Yang, Analogues of the Robin-Lagarias criteria for the Riemann hypothesis, Int. J. Number Theory 17(4) (2021), 843-870.
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