Weil numbers in cyclotomic fields

• Main Author: Shi, Luozi
• Other Authors: Bernhard Schmidt
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2020
• Subjects: Science::Mathematics::Number theory
• Online Access: https://hdl.handle.net/10356/140949
• Institution: Nanyang Technological University

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...