English

On Apery's Constant and Catalan's Constant

Number Theory 2010-04-20 v2

Abstract

In this paper, Riemann's Zeta function with odd positive integer argument is represented as an infinite summation of integer powers of π\pi with rational coefficients. Specific values for Apery's Constant and Catalan's Constant are then derived.

Keywords

Cite

@article{arxiv.1001.0248,
  title  = {On Apery's Constant and Catalan's Constant},
  author = {Akhila Raman},
  journal= {arXiv preprint arXiv:1001.0248},
  year   = {2010}
}
R2 v1 2026-06-21T14:30:06.837Z