Weil numbers in cyclotomic fields
Let X be an algebraic integer in the cyclotomic field Q(ζm). We say X is an n-Weil number if |Xσ|^2 = n for all automorphisms σ: Q(X)→C. This FYP report aims to study methods to find p^a-Weil numbers and make Weil numbers be in the decomposition field. The results contain several theoretical...
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2020
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sg-ntu-dr.10356-1409492023-02-28T23:13:52Z Weil numbers in cyclotomic fields Shi, Luozi Bernhard Schmidt School of Physical and Mathematical Sciences bernhard@ntu.edu.sg Science::Mathematics::Number theory Let X be an algebraic integer in the cyclotomic field Q(ζm). We say X is an n-Weil number if |Xσ|^2 = n for all automorphisms σ: Q(X)→C. This FYP report aims to study methods to find p^a-Weil numbers and make Weil numbers be in the decomposition field. The results contain several theoretical results and a list of Weil numbers with m <80 and p <20, where n is a prime. Bachelor of Science in Mathematical Sciences 2020-06-03T03:19:31Z 2020-06-03T03:19:31Z 2020 Final Year Project (FYP) https://hdl.handle.net/10356/140949 en application/pdf Nanyang Technological University |
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Science::Mathematics::Number theory Shi, Luozi Weil numbers in cyclotomic fields |
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Let X be an algebraic integer in the cyclotomic field Q(ζm). We say X is an n-Weil number if |Xσ|^2 = n for all automorphisms σ: Q(X)→C. This FYP report aims to study methods to find p^a-Weil numbers and make Weil numbers be in the decomposition field. The results contain several theoretical results and a list of Weil numbers with m <80 and p <20, where n is a prime. |
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Bernhard Schmidt |
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Bernhard Schmidt Shi, Luozi |
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Final Year Project |
| author |
Shi, Luozi |
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Shi, Luozi |
| title |
Weil numbers in cyclotomic fields |
| title_short |
Weil numbers in cyclotomic fields |
| title_full |
Weil numbers in cyclotomic fields |
| title_fullStr |
Weil numbers in cyclotomic fields |
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Weil numbers in cyclotomic fields |
| title_sort |
weil numbers in cyclotomic fields |
| publisher |
Nanyang Technological University |
| publishDate |
2020 |
| url |
https://hdl.handle.net/10356/140949 |
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1759854883135029248 |