English

Catalan's Equation For Even Primes over Quadratic Fields

Number Theory 2015-11-26 v3

Abstract

This article lists all the solution of the Catalan equation xpyq=1x^p-y^q=1 for x,yZ[i]x,y \in \mathbb{Z}[i], when one of the primes pandqp and q is even.

Cite

@article{arxiv.1112.2688,
  title  = {Catalan's Equation For Even Primes over Quadratic Fields},
  author = {R. Balasubramanian and Prem Prakash Pandey},
  journal= {arXiv preprint arXiv:1112.2688},
  year   = {2015}
}

Comments

An error in earlier version is corrected

R2 v1 2026-06-21T19:50:04.604Z