Perfect Powers: Pillai's works and their developments

Abstract

After a short introduction to Pillai's work on Diophantine questions, we quote some later developments and we discuss related open problems.

Submitted for publication in Pillai's collected papers

References in corpus (2)

• On a criterion for Catalan's Conjecture
• Catalan's Conjecture over Number Fields

Cited by in corpus (3)

• A function field variant of Pillai's problem
• The generalized Pillai equation $\pm r{a}^x\pm s{b}^y=c$
• Proof of the Tijdeman-Zagier Conjecture via Slope Irrationality and Term Coprimality