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Title:Topics in Analytic, Combinatorial and Probabilistic Number Theory
Author(s):Yang, Yifan
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:In the last chapter we consider the problem of determining how large an integer M should be so that almost every subset of {l, ..., N} of size M contains at least one arithmetic progression of length k. We also investigate the length of the longest arithmetic progression in a random subset of positive integers.
Issue Date:2000
Type:Text
Language:English
Description:122 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.
URI:http://hdl.handle.net/2142/87008
Other Identifier(s):(MiAaPQ)AAI9990197
Date Available in IDEALS:2015-09-28
Date Deposited:2000


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