On integer parts of the reciprocal remainders of some sums

Abstract We present generalizations of some results on the integer parts of the reciprocal remainders of the zeta function ζ ( s ) $\zeta (s)$ with s = 2 $s=2$ and s = 3 $s=3$ , and a very short and elegant proof of a recent result on the integer parts of the reciprocal remainders of the series ζ (...

Full description

Bibliographic Details
Main Author: Stevo Stević
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02879-w