The Diophantine Equation

Author

Frederic C. Barnett

Publication Date

5-28-1951

Abstract

In the first part of Chapter II of this thesis a study is made of these surfaces F_n. In the second part of Chapter II, several differential geometric properties of F_n are adduced, and again, an attack based on certain of these is shown to lead to the very theorem we seek to prove. Finally, we obtain three geometrical implications of the assumption that an integral triad exists on F_n suggesting new lines of attack on the theorem of Fermat.

Degree Name

Mathematics

Level of Degree

Masters

Department Name

Mathematics & Statistics

First Committee Member (Chair)

Lincoln LaPaz

Second Committee Member

Carleton Eugene Buell

Third Committee Member

Richard Charles Hildner

Language

English

Document Type

Thesis

Recommended Citation

Barnett, Frederic C.. "The Diophantine Equation." (1951). https://digitalrepository.unm.edu/math_etds/83