An Experimental Mathematics Approach to Truncated Riemann Zeta Function
Edna L. Jones, Yukun Yao, and Doron Zeilberger
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.