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Thesis

The determinant method and applications

Abstract:

The thesis is structured into 5 chapters as follows:

Chapter 1 is an introduction to the tools and methods we use most frequently.

Chapter 2 Pairs of k-free Numbers, consecutive square-full Numbers. In this chapter, we refine the approximate determinant method by Heath-Brown. We present applications to asymptotic formulas for consecutive k-free integers, and more generally for k-free integers represented by r

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Number Theory
Oxford college:
St Anne's College
Role:
Author

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Role:
Supervisor
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Funding agency for:
Reuss, T
Grant:
EP/J500495/1
Publication date:
2015
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
UUID:
uuid:5b49acc6-bc16-45bf-972a-6dff1977db02
Local pid:
ora:12236
Deposit date:
2015-09-09

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