Fourier analytic applications to number theory
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...
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2009
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ndltd-UBC-oai-circle.library.ubc.ca-2429-159082018-01-05T17:38:06Z Fourier analytic applications to number theory Hamel, Mariah 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. Science, Faculty of Mathematics, Department of Graduate 2009-11-27T23:24:27Z 2009-11-27T23:24:27Z 2004 2004-11 Text Thesis/Dissertation http://hdl.handle.net/2429/15908 eng 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. 2682321 bytes application/pdf |
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NDLTD |
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English |
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Others
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NDLTD |
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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. === Science, Faculty of === Mathematics, Department of === Graduate |
| author |
Hamel, Mariah |
| spellingShingle |
Hamel, Mariah Fourier analytic applications to number theory |
| author_facet |
Hamel, Mariah |
| author_sort |
Hamel, Mariah |
| title |
Fourier analytic applications to number theory |
| title_short |
Fourier analytic applications to number theory |
| title_full |
Fourier analytic applications to number theory |
| title_fullStr |
Fourier analytic applications to number theory |
| title_full_unstemmed |
Fourier analytic applications to number theory |
| title_sort |
fourier analytic applications to number theory |
| publishDate |
2009 |
| url |
http://hdl.handle.net/2429/15908 |
| work_keys_str_mv |
AT hamelmariah fourieranalyticapplicationstonumbertheory |
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1718590046856019968 |