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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


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