Generating functions for borders
Combinatorics
2025-03-04 v2
Abstract
We give the generating function for the index of integer lattice points, relative to a finite order ideal. The index is an important concept in the theory of border bases, an alternative to Gr\"obner bases. Equivalently, we explicitly solve a class of difference equations where the right-hand side is the minimum of a number of affine forms.
Keywords
Cite
@article{arxiv.0710.5415,
title = {Generating functions for borders},
author = {Jan Snellman},
journal= {arXiv preprint arXiv:0710.5415},
year = {2025}
}
Comments
10 pages, 1 figure. Introduction added, more references added