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Title: Weil numbers in cyclotomic fields
Authors: Shi, Luozi
Keywords: Science::Mathematics::Number theory
Issue Date: 2020
Publisher: Nanyang Technological University
Abstract: 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.
Fulltext Permission: restricted
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Student Reports (FYP/IA/PA/PI)

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