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Title:The Tarry -Escott Problem Over Quadratic Fields
Author(s):Prugsapitak, Supawadee
Doctoral Committee Chair(s):Ahlgren, Scott; Reznick, Bruce
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:In this dissertation, we study the Tarry-Escott problem and some related diophantine systems over Z and over some quadratic fields. We give infinitely many solutions of the Tarry-Escott problem over Zi of degrees 2, 3, 4, 5 and 7, none of which can be directly derived from solutions over Z . We show that there are infinitely many solutions of the Tarry-Escott problem of degree 2 over an infinite family of rings Zn . We also solve some diophantine equations which have no integral solutions over some quadratic fields. We partially solve a generalized form of the Tarry-Escott problem of degree 2.
Issue Date:2009
Type:Text
Language:English
Description:91 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.
URI:http://hdl.handle.net/2142/86932
Other Identifier(s):(MiAaPQ)AAI3392437
Date Available in IDEALS:2015-09-28
Date Deposited:2009


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