An Experimental Mathematics Approach to Truncated Riemann Zeta Function


Edna L. Jones, Yukun Yao, and Doron Zeilberger

.pdf   LaTeX source  

Written: Jan.-Feb. 2019

Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger

As a case study and class project of experimental mathematics, we implemented efficient programs to compute truncated Riemann Zeta functions and find minimums for the absolute value of Truncated Riemann Zeta Function. The details of programs and results are discussed. Future work may include approximation by continued fraction and the asymptotic estimates which are briefly mentioned here.

This paper presents a collection of experimental results regarding the truncated Riemann Zeta function conducted by students in Dr. Z.'s Spring 2018 Experimental Mathematics Class.

Accompanying Maple package is TruncatedRiemannZeta.txt.