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Description
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 |
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