Abstract
dc:descriptionThe 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.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2019
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Shakan, George
- Contributors dc:contributor
-
- Ford, Kevin
- Zaharascu, Alexandru
- Erdogan, Burak
- Balog, Jozsef
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- Copyright 2019 George Shakan
- Language dc:language
- en
Identifiers
dc:identifier.*- Handle dc:identifier
- http://hdl.handle.net/2142/104963
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/104963