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Graduate Defense: Christine Patterson
March 8 @ 10:30 am - 11:30 am
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Thesis Information
Title: Brahmagupta Triples And Record Numbers
Program: Master of Science in Mathematics
Advisor: Dr. Marion Scheepers, Mathematics
Committee Members: Dr. Michal Kopera, Mathematics and Dr. Liljana Babinkostova, Mathematics
Abstract
The Diophantine equation y^2 – Dx^2 = k has been explored since antiquity, and has found significant applications in diverse contexts in mathematics. This thesis focuses on two aspects of solutions of this equation:
1) For fixed k, the sizes of the D values for which there is a solution, and the corresponding sizes of the x and y constituting solutions;
2) For fixed k and D for which the equation is solvable, statistical properties of the x and y occurring in these solutions.
