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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Bibliographic Details
Main Author: Shi, Luozi
Other Authors: Bernhard Schmidt
Format: Final Year Project (FYP)
Language:English
Published: Nanyang Technological University 2020
Subjects:
Online Access:https://hdl.handle.net/10356/140949