Graduate Thesis Or Dissertation

 

Fourier Analysis and Equidistribution on the p-adic Integers 公开 Deposited

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/cz30q0563

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  • In this dissertation, we use Fourier-analytic methods to study questions of equidistribution on the compact abelian group Zp of p-adic integers. In particu- lar, we prove a LeVeque-type Fourier analytic upper bound on the discrepancy of sequences. We establish p-adic analogues of the classical Dirichlet and Fejér kernels on R/Z, and investigate their properties. Finally, we compare notions of variation for functions on Zp due to Beer and Taibleson. We also prove a p-adic Fourier analytic Koksma inequality.
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