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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Bibliographic Details
Main Author: Hamel, Mariah
Format: Others
Language:English
Published: 2009
Online Access:http://hdl.handle.net/2429/15908