On the rank of Hankel matrices over finite fields
OD Dwivedi, D Grinberg - Linear Algebra and its Applications, 2022 - Elsevier
Given three nonnegative integers p, q, r and a finite field F, how many Hankel matrices (x i+
j) 0≤ i≤ p, 0≤ j≤ q over F have rank≤ r? This question is classical, and the answer (q 2 r …
j) 0≤ i≤ p, 0≤ j≤ q over F have rank≤ r? This question is classical, and the answer (q 2 r …
Multislant matrices and Jacobi–Trudi determinants over finite fields
J Blasiak, OD Dwivedi, D Grinberg - Finite Fields and Their Applications, 2023 - Elsevier
The problem of counting the F q-valued points of a variety has been well-studied from
algebro-geometric, topological, and combinatorial perspectives. We explore a …
algebro-geometric, topological, and combinatorial perspectives. We explore a …
Multislant matrices and Jacobi--Trudi determinants over finite fields
OD Dwivedi, J Blasiak, D Grinberg - arXiv preprint arXiv:2302.07239, 2023 - arxiv.org
The problem of counting the $\mathbb {F} _q $-valued points of a variety has been well-
studied from algebro-geometric, topological, and combinatorial perspectives. We explore a …
studied from algebro-geometric, topological, and combinatorial perspectives. We explore a …