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Interpolating The Riemann Zeta Function In The P-Adics, Rebecca Mamlet
Interpolating The Riemann Zeta Function In The P-Adics, Rebecca Mamlet
Scripps Senior Theses
In this thesis, we develop the Kubota-Leopoldt Riemann zeta function in the p-adic integers. We follow Neil Koblitz's interpolation of Riemann zeta, using Bernoulli measures and p-adic integrals. The underlying goal is to better understand p-adic expansions and computations. We finish by connecting the Riemann zeta function to L-functions and their p-adic interpolations.