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Journal of Mathematics and Statistics
Year: 2008  |  Volume: 4  |  Issue: 3  |  Page No.: 181 - 185

Proof of Bernhard Riemann’s Functional Equation using Gamma Function

Mbaitiga Zacharie    

Abstract: This study shows the use of gamma function to prove the Riemann functional equation. Two approaches had been used to solve this problem: first the value of t in the definition of the gamma function had been changed to pi nu x if only if sigma is greater than zero in the complex plane. Secondly, the Poisson summation formula is used to show that zeta has a simple pole at s = 1 with residue 1, we had found that Riemann zeta function depended intimately on properties of gamma function, which was a new gate for solving complex problems related to zeta function.

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