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Title:The sum-product problem
Author(s):Shakan, George
Director of Research:Ford, Kevin
Doctoral Committee Chair(s):Zaharascu, Alexandru
Doctoral Committee Member(s):Erdogan, Burak; Balog, Jozsef
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Additive Combinatorics, Sum-Product
Abstract:The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many products or many sums. We explore quantitative aspects of the problem over both the real numbers and finite fields of prime order.
Issue Date:2019-02-19
Type:Text
URI:http://hdl.handle.net/2142/104963
Rights Information:Copyright 2019 George Shakan
Date Available in IDEALS:2019-08-23
Date Deposited:2019-05


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