3 papers
math.CO2026
Young-lattice diagonals and a doubly graded multiple-zeta decomposition of
Ricardo Gómez-Aíza
An equivalent formulation of the Riemann hypothesis recently led to a partition expansion naturally indexed by diagonals of the Young lattice. Segovia isolated the hook families $(…
math.CO2024
Trees with flowers: A catalog of integer partition and integer composition trees with their asymptotic analysis
Ricardo Gómez Aíza
We present families of combinatorial classes described as trees with nodes that can carry one of two types of "flowers": integer partitions or integer compositions. Two parameters…
math.CO2023
A unified treatment of families of partition functions
Lida Ahmadi, Ricardo Gómez Aíza, Mark Daniel Ward
We present a unified framework of combinatorial descriptions, and the analogous asymptotic growth of the coefficients of two general families of functions related to integer partit…