Special Session 100: Roots and trends in number theory

A new generalization of Fermat`s Last Theorem
Tianxin Cai
Zhejiang University
Peoples Rep of China
Co-Author(s):    
Abstract:
There are several generalizations of Fermat`s Last Theorem, such as Bill`s conjecture, Fermat-Catalan1 conjecture. In this talk, we will present a new generalization of Fermat`s Last Theorem, it remains unproved even under the strong abc conjecture or by using the inter-universal Teichmuller theory of Mochizuki Shinichi, and meanwhile we raise some new idea on additive and multiplicative number theory.