A new integral representation for the Riemann Zeta function

2007/03/25 by Tyagi, Sandeep, Holm, Christian
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math-ph/0703073

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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