3 papers
math.NT2025
On a nonnegativity conjecture of Andrews
Yazan Alamoudi
I settle a conjecture of Andrews related to the Alladi-Schur polynomials. In addition, I give further relations and implications to two families of polynomials related to the Allad…
math.NT2025
Some -hypergeometric identities associated with partition theorems of Lebesgue, Schur and Capparelli
Yazan Alamoudi, Krishnaswami Alladi
Here, we establish a polynomial identity in three variables , and with the degree of the polynomial given in terms of two integers . By letting and tend to i…
math.NT2024
A bijective proof of Andrews' refinement of the Alladi-Schur theorem
Yazan Alamoudi
This paper gives a bijective proof of Andrews' refinement of the Alladi-Schur theorem. Moreover, it demonstrates that the bijective framework introduced here can be used to reprodu…