1. Zeta Function of Curves Over Finite Field and Its Rationality Open Access Author: Zhang, Yifei Title: Zeta Function of Curves Over Finite Field and Its Rationality Area of Honors: Mathematics Keywords: In this thesiswe are set to explore a zeta function over finite field: an analogy to Riemann zeta functionand prove its rationality with techniques of p-adic numbers.zeta functionp-adicfinite field File: Download Zeta_Function_of_Curves_Over_Finite_Field_and_Its_Rationality.pdf Thesis Supervisors: Mihran Papikian, Thesis SupervisorNathanial Patrick Brown, Thesis Honors Advisor