On the integer part of the reciprocal of the Riemann zeta function tail at certain rational numbers in the critical strip

Abstract We prove that the integer part of the reciprocal of the tail of ζ(s) $\zeta (s)$ at a rational number s=1p $s=\frac{1}{p}$ for any integer with p≥5 $p \geq 5$ or s=2p $s=\frac{2}{p}$ for any odd integer with p≥5 $p \geq 5$ can be described essentially as the integer part of an explicit quan...

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Bibliographic Details
Main Authors: WonTae Hwang, Kyunghwan Song
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2230-4