English

An elementary proof of the halting property for Chakravala algorithm

Number Theory 2014-06-27 v1

Abstract

In 1930, A.A.K. Ayyangar allegedly produced the missing proof that the ancient Indian Chakravala algorithm, designed to solve Pell's equation, always halts. Refining his own elementary arguments, we give a correct and shorter proof.

Cite

@article{arxiv.1406.6809,
  title  = {An elementary proof of the halting property for Chakravala algorithm},
  author = {Anne Bauval},
  journal= {arXiv preprint arXiv:1406.6809},
  year   = {2014}
}
R2 v1 2026-06-22T04:47:45.819Z