2 papers
math.NT2023
Partitions in real quadratic fields
David Stern, Mikuláš Zindulka
We study partitions of totally positive integers in real quadratic fields. We develop an algorithm for computing the number of partitions, prove a result about the parity of the pa…
math.CO2023
The Six-Vertex Model with a Non-Standard Boundary Condition
Matěj Doležálek, Martin Raška, Ester Sgallová +2
We consider the enumeration of states in the Brubaker-Bump-Friedberg six-vertex model, whose boundary conditions are determined by an integer partition. In general, we find the num…