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Fourier analytic applications to number theory Hamel, Mariah
Abstract
In this paper we give expositions of Roth's theorem, Weyl's inequality and Vinogradov's three-primes theorem. In the proofs, we will frequently use exponential sums and more specifically the discrete Fourier transform. In the proof of Vinogradov's three-primes theorem we will use Hardy and Littlewood's circle method. This paper is intended to be self-contained and will hopefully be readable to someone with little background in the area.
Item Metadata
| Title |
Fourier analytic applications to number theory
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2004
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| Description |
In this paper we give expositions of Roth's theorem, Weyl's inequality and Vinogradov's three-primes theorem. In the proofs, we will frequently use exponential sums and more specifically the discrete Fourier transform. In the proof of Vinogradov's three-primes theorem we will use Hardy and Littlewood's circle method. This paper is intended to be self-contained and will hopefully be readable to someone with little background in the area.
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| Extent |
2682321 bytes
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| Genre | |
| Type | |
| File Format |
application/pdf
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| Language |
eng
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| Date Available |
2009-11-27
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0080078
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2004-11
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.