The inverses of tails of the Riemann zeta function

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 $\frac{1}{4}$ .

Keywords: 11B83; 11M06.