3 papers
math.CO2025
Positivity properties of -hit numbers in the finite general linear group
Jeffrey Chen, Jesse Selover
We consider the problem of counting matrices over a finite field with fixed rank and support contained in a fixed set. The count of such matrices gives a -analogue of the classi…
math.CO2024
Sign patterns of principal minors of real symmetric matrices
Tobias Boege, Jesse Selover, Maksym Zubkov
We analyze a combinatorial rule satisfied by the signs of principal minors of a real symmetric matrix. The sign patterns satisfying this rule are equivalent to uniform oriented Lag…
math.CO2023
Rigorous Analytic Combinatorics in Several Variables in SageMath
Benjamin Hackl, Andrew Luo, Stephen Melczer +2
We introduce the new sage_acsv package for the SageMath computer algebra system, allowing users to rigorously compute asymptotics for a large variety of multivariate sequences with…