A new integral representation for the Riemann Zeta function

Abstract

A new integral representation for the Riemann zeta function is derived. This representation covers the important region of the complex plane where the real part of the argument of the function lies between 0 and 1. Using this representation, we obtain new functional identities for the Riemann zeta function.

Cited by in corpus (3)

• Recursion Relations and Functional Equations for the Riemann Zeta Function
• Evaluation of Riemann Zeta function on the Line $\Re (s)=1$ and Odd Arguments
• Using known zeta-series to derive the Dancs-He series for $\ln 2$ and $\zeta (2n+1)$