Tangedal, Brett

uncg

There are 3 item/s.

TitleDateViewsBrief Description
Quadratic reciprocity for the rational integers and the Gaussian integers 2010 3489 This thesis begins by giving a brief time line of the origins of Number Theory. It highlights the big theorems that have been constructed in this subject, along with the mathematicians who constructed them. The thesis, then, goes on to prove the Law ...
Binary quadratic forms and genus theory 2013 11052 The study of binary quadratic forms arose as a natural generalization of questions about the integers posed by the ancient Greeks. A major milestone of understanding occurred with the publication of Gauss's Disquisitiones Arithmeticae
Zagier’s reduction theory for indefinite binary quadratic forms and the Fermat-Pell Equation 2020 1 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 offe...