Thesis
Topics in analytic number theory
- Abstract:
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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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Funding
+ Engineering and Physical Sciences Research Council (EPSRC)
More from this funder
Funding agency for:
Irving, A
Grant:
EP/P505666/1
Bibliographic Details
- Publication date:
- 2014
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- Oxford University, UK
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
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uuid:40f5511c-af6b-4215-b1ab-97f203e8936b
- Local pid:
- ora:9299
- Deposit date:
- 2014-11-12
Terms of use
- Copyright holder:
- Irving, A
- Copyright date:
- 2014
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