Zeta Function of Curves Over Finite Field and Its Rationality
Open Access
Author:
Zhang, Yifei
Area of Honors:
Mathematics
Degree:
Bachelor of Science
Document Type:
Thesis
Thesis Supervisors:
Mihran Papikian, Thesis Supervisor Nathanial Patrick Brown, Thesis Honors Advisor
Keywords:
In this thesis we are set to explore a zeta function over finite field: an analogy to Riemann zeta function and prove its rationality with techniques of p-adic numbers. zeta function p-adic finite field
Abstract:
In this thesis, we are set to explore the zeta function over finite field: an analogy to Riemann zeta
function, and prove its rationality with techniques of p-adic numbers.