Thesis

### Topics in analytic number theory

Abstract:

In this thesis we prove several results in analytic number theory.

1. We show that there exist 3-digit palindromic primes in base b for a set of b having density 1 and that if b is sufficiently large then there is a $3$-digit palindrome in base b having precisely two prime factors.

2. We prove various estimates for averages of sums of Kloosterman fractions over primes. The first of these improves previous results of Fouvry-Shparlinski a...

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### Authors

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

#### Contributors

Role:
Supervisor
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:40f5511c-af6b-4215-b1ab-97f203e8936b
Local pid:
ora:9299
Deposit date:
2014-11-12