English

A trigonometric approach to an identity by Ramanujan

Number Theory 2026-03-10 v1

Abstract

An identity by Ramanujan is expressed using polar coordinates, so that its proof reduces to the verification of an elementary trigonometric identity. This approach produces a few variations on Ramanujan's original identity.

Keywords

Cite

@article{arxiv.2603.07793,
  title  = {A trigonometric approach to an identity by Ramanujan},
  author = {C. Vignat},
  journal= {arXiv preprint arXiv:2603.07793},
  year   = {2026}
}