The diagonal polynomials of dimension four
type: Item
instance of: scholarly article
title: The diagonal polynomials of dimension four
zbMATH Open document ID: 1080.11021
author: Hans L. Fetter
author: Juan H. Arredondo R.
author: Luis B. Morales
published in: Advances in Applied Mathematics
publication date: 2005-05-04T00:00:00Z
review text: Let \(s({\mathbf x})= x_1+\cdots+ x_n\) for \(x_1,\dots, x_n\in\mathbb{N}\) and fixed \(n\in\mathbb{N}\). A bijective polynomial function (PF) from \(\mathbb{N}^n\) to \(\mathbb{N}\) is called diagonal if \(f({\mathbf x})< f({\mathbf y})\) when \(s({\mathbf x})< s({\mathbf y})\). A set of representatives for the equivalence classes with respect to index permutation of diagonal PFs is known for \(n= 2,3\). Here the case \(n= 4\) is investigated leading to 6 representatives.
reviewed by: Miroslav Dont
Mathematics Subject Classification ID: 11C08
zbMATH DE Number: 2164943
zbMATH Keywords: packing polynomial
zbMATH Keywords: diagonal polynomial
MaRDI profile type: Publication
full work available at URL: j.aam.2004.08.004
OpenAlex ID: W2090658040
cites work: Polynomial indexing of integer lattice-points. I. General conceopts and quadratic polynomials
cites work: Polynomial enumeration of multidimensional lattices
cites work: Diagonal polynomials for small dimensions
cites work: An enlarged family of packing polynomials on multidimensional lattices
cites work: Diagonal polynomials and diagonal orders on multidimensional lattices
cites work: A family of asymptotically \(e(n-1)!\) polynomial orders of \(N^n\)
cites work: Q4105628
cites work: Data graphs and addressing schemes
cites work: Q3943975
cites work: Logical number theory I. An introduction
cites work: Q4780013
DOI: 10.1016/J.AAM.2004.08.004
Recommended article: Diagonal polynomials for small dimensions
Recommended article: Diagonal polynomials and diagonal orders on multidimensional lattices
Recommended article: The diagonal of quartic fivefolds
Recommended article: Q3720947
Recommended article: Some orthogonal polynomials in four variables
Recommended article: POLYNOMIAL INVARIANTS OF FOUR-DIMENSIONAL ORTHOGONAL GROUPS
Recommended article: Fourientations and the Tutte polynomial
Recommended article: Diagonalization of quadratic matrix polynomials
Recommended article: Q4349045
Recommended article: Q4467889
description: scientific article; zbMATH DE number 2164943