The inverses of tails of the Riemann zeta function

TL;DR

This paper investigates bounds and specific values of the inverses of tails of the Riemann zeta function within the critical strip, providing new numerical insights and bounds for these inverses.

Contribution

It introduces bounds and computes specific inverse tail values of the Riemann zeta function for certain points in the critical strip.

Findings

Bounds for inverses of tails of the Riemann zeta function on 0<s<1

Computed integer parts of inverses at s=1/2, 1/3, 1/4

Numerical insights into the behavior of zeta tails

Abstract

We present some bounds of the inverses of tails of the Riemann zeta function on $0 < s < 1$ and compute the integer parts of the inverses of tails of the Riemann zeta function for $s=\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{4}$.