2007•arXiv (Cornell University)Open access

A new integral representation for the Riemann Zeta function

Sandeep Kumar Tyagi, Christian Holm

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.

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Key concepts: Riemann zeta function, Representation (politics), Riemann Xi function, Particular values of Riemann zeta function, Mathematics, Arithmetic zeta function, Riemann hypothesis, Function (biology)