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Title:Trace Problems in Algebraic Number Fields and Applications to Characters of Finite Groups
Author(s):Stan, Florin
Doctoral Committee Chair(s):Zaharescu, Alexandru
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:In 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.
Issue Date:2008
Type:Text
Language:English
Description:51 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.
URI:http://hdl.handle.net/2142/86912
Other Identifier(s):(MiAaPQ)AAI3337908
Date Available in IDEALS:2015-09-28
Date Deposited:2008


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