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March 2019 Riesz means of the Euler totient function
Shota Inoue, Isao Kiuchi
Funct. Approx. Comment. Math. 60(1): 31-40 (March 2019). DOI: 10.7169/facm/1650

Abstract

Let $\phi$ denote the Euler totient function, defined by $id*\mu$ where $\mu$ is the M\"{o}bius function. We shall consider the $k$-th Riesz mean of the arithmetical function $n/\phi(n)$ for any positive integer $k \geq 2$ on the assumption of the Riemann Hypothesis. Our result is a refinement of Theorem 2 in A. Sankaranarayanan and S.K. Singh [6]. We also improve it upon the assumption of the Gonek-Hejhal Hypothesis.

Citation

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Shota Inoue. Isao Kiuchi. "Riesz means of the Euler totient function." Funct. Approx. Comment. Math. 60 (1) 31 - 40, March 2019. https://doi.org/10.7169/facm/1650

Information

Published: March 2019
First available in Project Euclid: 26 June 2018

zbMATH: 07055562
MathSciNet: MR3932602
Digital Object Identifier: 10.7169/facm/1650

Subjects:
Primary: 11A25
Secondary: 11M06, 11M41

Rights: Copyright © 2019 Adam Mickiewicz University

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Vol.60 • No. 1 • March 2019
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