Algebra & Combinatorics Seminar

Pure Ternary Exponential Diophantine Equations

  • 演讲者:Huilin Zhu(厦门大学)

  • 时间:2019-11-24 10:00-11:00

  • 地点:慧园3栋 518报告厅

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.