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Description
Title: | Some Extremal Problems in Additive Number Theory |
Author(s): | Brueggeman, Jeffrey Alan |
Doctoral Committee Chair(s): | Hildebrand, A.J. |
Department / Program: | Mathematics |
Discipline: | Mathematics |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | Mathematics |
Abstract: | We consider a measure t(n) for the efficiency of a representation of a large integer n as a sum of distinct squares, defined as the smallest sum of distinct natural numbers whose squares have sum n. Using a modified greedy algorithm, we give a precise asymptotic estimate for t(n) which shows, in particular, that t(n) is very closely approximated by n . |
Issue Date: | 1998 |
Type: | Text |
Language: | English |
Description: | 53 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998. |
URI: | http://hdl.handle.net/2142/86966 |
Other Identifier(s): | (MiAaPQ)AAI9912202 |
Date Available in IDEALS: | 2015-09-28 |
Date Deposited: | 1998 |
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