Zagier’s reduction theory for indefinite binary quadratic forms and the Fermat-Pell Equation

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Stephen Steward (Creator)
Institution
The University of North Carolina at Greensboro (UNCG )
Web Site: http://library.uncg.edu/
Advisor
Brett Tangedal

Abstract: We give an in depth description of indefinite binary quadratic forms with a particular emphasis on Zagier’s reduction theory for such forms. We also connect this theory with the theory of minus continued fractions and as a further application we offer a constructive approach to solving the Fermat-Pell Equation in two different settings.

Additional Information

Publication
Thesis
Language: English
Date: 2020
Keywords
Algebraic Number Theory, Indefinite Binary Quadratic Forms, Pell's Equation
Subjects
Algebraic number theory
Forms, Quadratic
Continued fractions
Pell's equation

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