3 citations · 6 across the 6 of their papers we have counts for
6 papers
Elementary Proofs of Arithmetic Properties for Schur-Type Overpartitions Modulo Small Powers of 2
Shane Chern, Robson da Silva, James A. Sellers
In 2022, Broudy and Lovejoy extensively studied the function which counts the number of overpartitions of \emph{Schur-type}. In particular, they proved a number of congruenc…
Elementary Proofs of Infinite Families of Congruences for Merca's Cubic Partitions
Robson da Silva, James A. Sellers
Recently, using modular forms and Smoot's {\tt Mathematica} implementation of Radu's algorithm for proving partition congruences, Merca proved the following two congruences: For al…
Congruences for the coefficients of the Gordon and McIntosh mock theta function
Robson da Silva, James A. Sellers
Recently Gordon and McIntosh introduced the third order mock theta function defined by Our g…
Parity Considerations for Mex-Related Partition Functions of Andrews and Newman
Robson da Silva, James A. Sellers
In a recent paper, Andrews and Newman extended the mex-function to integer partitions and proved many partition identities connected with these functions. In this paper, we present…
Skew plane partitions according to the th largest and th smallest parts
Robson da Silva, Almir Neto, Kelvin Souza
We extend recent results by G. E. Andrews and G. Simay on the th largest and th smallest parts of a partition to the more general context of skew plane partitions. In order t…
New Identities from a Combinatorial Approach to Generalized Fibonacci and Generalized Lucas Numbers
Robson da Silva
We present here some new identities for generalizations of Fibonacci and Lucas numbers by combinatorially interpreting these numbers in terms of numbers of certain tilings of a $1…