南方科技大学 // 数学系 // 学术会议 English

Algebra & Combinatorics Seminar

1970/01/01-1970/01/01

Pure Ternary Exponential Diophantine Equations

Abstract

In this talk, we give a survey about pure ternary exponential Diophantine equations and some developments in results as well as in tools. These tools include Baker's method, the Bilu-Hanrot-Voutier Theorem about the existence of primitive divisors of Lucas numbers and Lehmer numbers, algebraic number theory methods, and others. We generalize the conjectures of Jesmanowicz, Terai-Cao-Le and Yuan-Han and also present some results that we proved and plan to further improve in this area.