91 citations · 520 across the 230 of their papers we have counts for
15 papers · 1 filter
Automatic Discovery of Irrationality Proofs and Irrationality Measures
Doron Zeilberger, Wadim Zudilin
We illustrate the power of Experimental Mathematics and Symbolic Computation to suggest irrationality proofs of natural constants, and the determination of their irrationality meas…
Two Definite Integrals That Are Definitely (and Surprisingly!) Equal
Shalosh B. Ekhad, Doron Zeilberger, Wadim Zudilin
We find this identity, that looks like an exercise in Calculus 1, surprising, and beautiful. We hope that you would too.
Systematic Counting of Restricted Partitions
Mingjia Yang, Doron Zeilberger
Integer partitions are one of the most fundamental objects of combinatorics (and number theory), and so is enumerating objects avoiding patterns. In the present paper we describe t…
A Multi-Computational Exploration of Some Games of Pure Chance
Thotsaporn "Aek" Thanatipanonda, Doron Zeilberger
In the spirit of "multi-culturalism", we use four kinds of computations: simulation, numeric, symbolic, and "conceptual" to explore some "games of pure chance" inspired by children…
Using Symbolic Computation to analyze some Children's Board Games
Shalosh B. Ekhad, Doron Zeilberger
In a delightful article that recently appeared in Mathematics Magazine, David and Lori Mccune analyze the board game "Count Your Chickens!", recommended to children three and up. A…
Polynomial Reduction and Super Congruences
Qing-Hu Hou, Yan-Ping Mu, Doron Zeilberger
Based on a reduction processing, we rewrite a hypergeometric term as the sum of the difference of a hypergeometric term and a reduced hypergeometric term (the reduced part, in shor…