Researcher ORCID Identifier
0009-0007-5517-1404
Graduation Year
2026
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Christopher Towse
Reader 2
Lenny Fukshansky
Terms of Use & License Information
Rights Information
© 2026 Zuriel A Silva
Abstract
We start by introducing the types of functions often worked with in analytic number theory, those being arithmetical functions. We then work our way towards deriving the functional equation of the Riemann Zeta function in order to analytically continue it. To do this we first go over introductory complex analysis including; holomorphic and meromorphic functions, Laurent series, residues, and the gamma function, then completing an in depth proof of the functional equation.
Recommended Citation
Silva, Zuriel, "The Functional Equation of The Riemann Zeta Function" (2026). Scripps Senior Theses. 2797.
https://scholarship.claremont.edu/scripps_theses/2797
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.
