Generating functions for borders

The Journal of Difference Equations and Applications 2026 Open access

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Authors: Jan Snellman
DOI: 10.1080/10236198.2026.2677520
Cited by: 0
References: 2

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 Gröbner bases. Equivalently, we explicitly solve a class of difference equations where the right-hand side is the minimum of a number of affine forms.

Fields of Study & Subjects

Agriculture and Rural Development Research

Publication details

Journal / source
The Journal of Difference Equations and Applications
Publisher
Informa UK Limited
Volume
32
Issue
8
Pages
1240–1258
Publication date
1 June 2026
Language
EN