49 citations · 203 across the 42 of their papers we have counts for
8 papers · 1 filter
Franklin's identity for -color partitions and companion Beck-type identities
Cristina Ballantine, Roberto Tauraso
We show that some classical identities valid for ordinary partitions have precise analogues for -color partitions, that is partitions in which a part of size can occur…
Extensions of MacMahon's sums of divisors
Tewodros Amdeberhan, George E. Andrews, Roberto Tauraso
In 1920, P. A. MacMahon generalized the (classical) notion of divisor sums by relating it to the theory of partitions of integers. In this paper, we extend the idea of MacMahon. In…
Revitalized automatic proofs: demonstrations
Tewodros Amdeberhan, David Callan, Hideyuki Ohtsuka +1
We consider three problems from the recent issues of the American Mathematical Monthly involving different versions of Catalan triangle. Our main results offer generalizations of t…
A (human) proof of a triple binomial sum supercongruence
Roberto Tauraso
In the recent article arXiv:1606.03351, Apagodu and Zeilberger discuss some applications of an algorithm for finding and proving congruence identities (modulo primes) of indefinite…
New Multiple Harmonic Sum Identities
Helmut Prodinger, Roberto Tauraso
We consider a special class of binomial sums involving harmonic numbers and we prove three identities by using the elementary method of the partial fraction decomposition. Some app…
Determinants of grids, tori, cylinders and Möbius ladders
Khodakhast Bibak, Roberto Tauraso
Recently, Bieñ [A. Bieñ, The problem of singularity for planar grids, Discrete Math. 311 (2011), 921--931] obtained a recursive formula for the determinant of a grid. Also, recentl…