Researcher ORCID Identifier
0000-0003-2448-3070
Graduation Year
2022
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Christopher Towse
Reader 2
Anie Chaderjian
Terms of Use & License Information
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.
Recommended Citation
Mamlet, Rebecca, "Interpolating the Riemann Zeta Function in the p-adics" (2022). Scripps Senior Theses. 1902.
https://scholarship.claremont.edu/scripps_theses/1902
