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Integers of the form x² + dy² in some quadratic fields |
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| รหัสดีโอไอ | |
| Title | Integers of the form x² + dy² in some quadratic fields |
| Creator | Sarat Sinrapavongsa |
| Contributor | Ajchara Harnchoowong |
| Publisher | Chulalongkorn University |
| Publication Year | 2555 |
| Keyword | Numeration, Quadratic fields, ปริญญาดุษฎีบัณฑิต, จำนวนเลข, ฟีลด์ควอดราติก |
| Abstract | Writing an integer as a sum of two squares is an interesting problem. David A. Cox has generalized the problem and study that when a positive integer d is given, which prime integers can be written in the form x² + dy² where x and y are integers In this thesis, we extend the ideas from the field of rational numbers to some quadratic fields and give the criteria to determine whether an algebraic prime in- teger can be represented in the form x² + dy² Furthermore, we study the number of representations of an integer which can be represented in the form x² + dy² in a number field. |
| URL Website | cuir.car.chula.ac.th |
