On Some Diophantine Equations

讲座时间 Datetime: 2021年6月11日，星期五 10:00-13:00

地点 Venue: 海琴2号楼A457

报告人 Speaker:  祝辉林 副教授

单位 Affiliation: 厦门大学

报告摘要 Abstract:

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.