4 citations · 8 across the 9 of their papers we have counts for
11 papers
Congruence properties for the trinomial coefficients
Moa Apagodu, Ji-Cai Liu
In this paper, we state and prove some congruence properties for the trinomial coeficients, one of which is similar to the Wolstenholme's theorem.
Elementary proof of congruences involving sum of binomial coefficients
Moa Apagodu
We provide elementary proof of several congruences involving single sum and multisums of binomial coefficients.
Zeilberger to the rescue
Moa Apagodu
We provide both human and computer (even better collaboration between the two) proofs to four recent American Mathematical Monthly problems, namely problem 11897, problem 11899, pr…
Analysis of the gift exchange problem
Moa Apagodu, David Applegate, N. J. A. Sloane +1
In the gift exchange game there are n players and n wrapped gifts. When a player's number is called, that person can either choose one of the remaining wrapped gifts, or can "steal…
Using the "Freshman's Dream" to Prove Combinatorial Congruences
Moa Apagodu, Doron Zeilberger
In a recent beautiful but technical article, William Y.C. Chen, Qing-Hu Hou, and Doron Zeilberger developed an algorithm for finding and proving congruence identities (modulo prime…
Wilf's "Snake Oil" Method Proves an Identity in The Motzkin Triangle
Tewodros Amdeberhan, Moa Apagodu, Doron Zeilberger
We give yet-another illustration of using Herb Wilf's Snake Oil Method, by proving a certain identity between the entries of the so-called Motzkin Triangle, that arose in a recent…