Notes on some identities involving the Riemann Zeta function
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
We first review Ramaswami's and Apostol's identitiesinvolving the Zeta function in a rather detailed manner.We then present corrected, or generalized formulas,or a different method of proof for some of them.We also give closed-form evaluation of some seriesinvolving the Riemann Zeta function by an integralrepresentation of zeta(s) and Apostol's identities given here.
Abstract
We first review Ramaswami's and Apostol's identitiesinvolving the Zeta function in a rather detailed manner.We then present corrected, or generalized formulas,or a different method of proof for some of them.We also give closed-form evaluation of some seriesinvolving the Riemann Zeta function by an integralrepresentation of zeta(s) and Apostol's identities given here.