| Title | Date | Views | Brief Description |
|---|
| Zagier’s reduction theory for indefinite binary quadratic forms and the Fermat-Pell Equation |
2020 |
570 |
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... |
| Quadratic reciprocity for the rational integers and the Gaussian integers |
2010 |
4964 |
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 |
15997 |
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
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