English

A General Method for Constructing Ramanujan Formulas for $1/\pi^{\nu}$

General Mathematics 2012-08-23 v1

Abstract

In this article we give the theoretical background for generating Ramanujan type 1/π2ν1/\pi^{2\nu} formulas. As applications of our method we give a general construction of 1/π41/\pi^4 series and examples of 1/π61/\pi^6 series. We also study the elliptic alpha function whose values are useful for such evaluations.

Keywords

Cite

@article{arxiv.1208.4567,
  title  = {A General Method for Constructing Ramanujan Formulas for $1/\pi^{\nu}$},
  author = {Nikos Bagis},
  journal= {arXiv preprint arXiv:1208.4567},
  year   = {2012}
}

Comments

pi formulas, Ramanujan, 12 pages

R2 v1 2026-06-21T21:54:04.530Z