On zeros of the Riemann zeta function

Abstract

This paper shows that, in the critical strip, the Riemann zeta function $\zeta (s)$ have the same set of zeros as $F(s):={\int }_0^{\infty }{t}^{s-1}(e^t+1{)}^{-1}dt$, and then discusses the behavior of $F(s)$.

13 pages