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Title:Sums of Polynomials, Minmax Problems and Number Theory
Author(s):Kim, Seon-Hong
Doctoral Committee Chair(s):Stolarsky, K.B.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:The study in the second direction is to formulate a new fundamental method to solve some extremal problems. We study certain minmax problems about unit vectors in the plane that are best formulated in terms of complex exponentials. We transform these problems into problems about determining whether certain collections of planar convex sets are packings. This new method is successfully applied to other extremal problems. Moreover we study some minmax problems for fractional parts of real numbers.
Issue Date:2000
Type:Text
Language:English
Description:199 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.
URI:http://hdl.handle.net/2142/86990
Other Identifier(s):(MiAaPQ)AAI9955637
Date Available in IDEALS:2015-09-28
Date Deposited:2000


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