Journal of Integer Sequences, Vol. 26 (2023), Article 23.3.6

On Sándor's Inequality for the Riemann Zeta Function


Horst Alzer
Morsbacher Straße 10
51545 Waldbröl
Germany

Man Kam Kwong
Department of Applied Mathematics
The Hong Kong Polytechnic University
Hunghom, Hong Kong

Abstract:

Let ω(n) denote the number of distinct prime factors of n. We prove an analogue of a recently published inequality of Sándor that relates a series involving ω(n) to a quotient of zeta functions.

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(Concerned with sequence A129251.)

Received January 8 2023; revised versions received March 3 2023; March 5 2023. Published in Journal of Integer Sequences, March 16 2023.

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