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Description
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 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois