Thesis
Topics in analytic number theory
- Abstract:
-
In this thesis we prove several different results about the number of primes represented by linear functions.
The Brun-Titchmarsh theorem shows that the number of primes which are less than x and congruent to a modulo q is less than (C+o(1))x/(phi(q)log{x}) for some value C depending on log{x}/log{q}. Different authors have provided different estimates for C in different ranges for log{x}/log{q}, all of which give C>2 when log{x}/log{q} is bounded. We show in Chapter 2 that one c...
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Funding
+ Engineering and Physical Sciences Research Council
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Funding agency for:
Maynard, J
Bibliographic Details
- Publication date:
- 2013
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- Oxford University, UK
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
-
uuid:3bf4346a-3efe-422a-b9b7-543acd529269
- Local pid:
- ora:8555
- Deposit date:
- 2014-06-10
Terms of use
- Copyright holder:
- Maynard, J
- Copyright date:
- 2013
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