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University of Illinois at Urbana-Champaign
The Tarry -Escott Problem Over Quadratic Fields
Abstract
dc:descriptionIn 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.
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
-
- Prugsapitak, Supawadee
- Contributors dc:contributor
-
- Ahlgren, Scott
- Reznick, Bruce
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI3392437
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86932