English

Spherical Couplings and Multiple Elliptic Integrals

Classical Analysis and ODEs 2013-01-14 v1

Abstract

Various integrals over elliptic integrals are evaluated as couplings on spheres, resulting in some integral and series representations for the mathematical constants π\pi, GG and ζ(3)\zeta(3).

Keywords

Cite

@article{arxiv.1301.2584,
  title  = {Spherical Couplings and Multiple Elliptic Integrals},
  author = {Yajun Zhou},
  journal= {arXiv preprint arXiv:1301.2584},
  year   = {2013}
}

Comments

50 pages

R2 v1 2026-06-21T23:08:04.638Z