TY - JOUR
AU - Zacharie, Mbaïtiga
PY - 2008
TI - Proof of Bernhard Riemann's Functional Equation using Gamma Function
JF - Journal of Mathematics and Statistics
VL - 4
IS - 3
DO - 10.3844/jmssp.2008.181.185
UR - https://thescipub.com/abstract/jmssp.2008.181.185
AB - 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.