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University of Illinois at Urbana-Champaign
Trace Problems in Algebraic Number Fields and Applications to Characters of Finite Groups
Abstract
dc:descriptionIn the second chapter, we define the Siegel norm of algebraic numbers, and study it in connection to the spectral norm. In the last section of the chapter we compute its values on a large class of elements of Q ≃ , the completion of Q&d1; with respect to the spectral norm. The third chapter concerns Kedlaya's conjecture on m-Weil numbers. We introduce the notion of unitary conductor, and prove the conjecture for cyclotomic integers with square-free unitary conductor.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Stan, Florin
- Contributors dc:contributor
-
- Zaharescu, Alexandru
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI3337908
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86912