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 Michael 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.
Zagier’s reduction theory for indefinite binary quadratic forms and the Fermat-Pell Equation
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Created on 12/1/2020
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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