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Thesis

Topics in combinatorics and additive number theory

Abstract:

In this thesis, we will consider five problems with an additive combinatorial flavour.

In Chapter 2, we will consider bounds for the arithmetic removal lemma in abelian groups, and show that good bounds would hold as a consequence of good bounds on a related problem.

In Chapter 3, we will discuss sets of integers with many solutions to a linear equation, and prove various results about the maximal number of solutions for various equations.

In Chapter 4, ...

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Role:
Supervisor
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Name:
Engineering and Physical Sciences Research Council
Grant:
EP/N509711/1
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Subjects:
Deposit date:
2020-11-25

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