On the Second Case of Fermat's Last Theorem over Cyclotomic Fields

Author

Owen Sweeney, The Graduate Center, City University of New YorkFollow

Date of Degree

9-2023

Document Type

Dissertation

Degree Name

Ph.D.

Program

Mathematics

Advisor

Victor Kolyvagin

Committee Members

Kenneth Kramer

Alexander Gamburd

Subject Categories

Number Theory

Keywords

irregular prime, Fermat, second case

Abstract

We obtain a new simpler sufficient condition for Kolyvagin's criteria, regarding the second case of Fermat's last theorem with prime exponent p over the p-th cyclotomic field, to hold. It covers cases when the existing simpler sufficient conditions do not hold and is important for the theoretical study of the criteria.

Recommended Citation

Sweeney, Owen, "On the Second Case of Fermat's Last Theorem over Cyclotomic Fields" (2023). CUNY Academic Works.
https://academicworks.cuny.edu/gc_etds/5414