On the Means of Jordan’s Totient Function-Reference-Cited by-同舟云学术

On the Means of Jordan’s Totient Function

Published:2020-02-20 Issue:6 Volume:46 Page:1753-1765
ISSN:1017-060X
Container-title:Bulletin of the Iranian Mathematical Society
language:en
Short-container-title:Bull. Iran. Math. Soc.

Author:

Esfandiari Mohammadreza

Abstract

AbstractIn this paper, we study some important means of Jordan’s totient function, especially, we obtain asymptotic formula for geometric mean and harmonic mean. We also study alternating sums of Jordan’s totient function and Carleman’s inequality for this function.

Publisher

Springer Science and Business Media LLC

Subject

Anesthesiology and Pain Medicine

Link

http://link.springer.com/content/pdf/10.1007/s41980-020-00356-y.pdf

Reference19 articles.

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3. Adhikari, S.D., Sankaranarayanan, A.: On an error term related to the Jordan totient function $$J_k(n)$$. J. Number Theory 34(2), 178–188 (1990). 521–555

4. Bordellès, O., Cloitre, B.: An alternating sum involving the reciprocal of certain multiplicative functions. J. Integer Seq. 16(2), 3 (2013)

5. Carleman, T.: Sur les fonctions quasi-analytiques, Conférences faites au cinquième congres des mathématiciens Scandinaves. Helsinki 181–196 (1923)

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