Researcher ORCID Identifier

0000-0003-2448-3070

Graduation Year

2022

Document Type

Campus Only Senior Thesis

Degree Name

Bachelor of Arts

Department

Mathematics

Reader 1

Christopher Towse

Reader 2

Anie Chaderjian

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Rights Information

© 2021 Rebecca Mamlet

Abstract

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.

This thesis is restricted to the Claremont Colleges current faculty, students, and staff.

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