Some Extremal Problems in Additive Number Theory

Brueggeman, Jeffrey Alan

Use this link to cite this item:

Files in this item

Files	Description	Format
application/pdf 9912202.pdf (2MB)	(no description provided)	PDF

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