NOTES ON SOME IDENTITIES INVOLVING THE RIEMANN ZETA FUNCTION | Zendy

Hyerim Lee | Zendy; Bo-Myoung Ok | Zendy; Junesang Choi | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

NOTES ON SOME IDENTITIES INVOLVING THE RIEMANN ZETA FUNCTION

Author(s) -

Hyerim Lee,

Bo-Myoung Ok,

Junesang Choi

Publication year - 2002

Publication title -

communications of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.286

H-Index - 15

eISSN - 2234-3024

pISSN - 1225-1763

DOI - 10.4134/ckms.2002.17.1.165

Subject(s) - mathematics , riemann zeta function , arithmetic zeta function , riemann hypothesis , pure mathematics , particular values of riemann zeta function , prime zeta function , series (stratigraphy) , representation (politics) , riemann xi function , function (biology) , mathematical analysis , paleontology , evolutionary biology , politics , political science , law , biology

We first review Ramaswami's and Apostol's identities involving the Zeta function in a rather detailed manner. We then present corrected, or generalized formulas, or a dierent method of proof for some of them. We also give closed-form evaluation of some series involving the Riemann Zeta function by an integral representation of ‡(s) and Apostol's identities given here.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research