Oh's 8-Universality Criterion is Unique

Scott Duke Kominers

doi:10.5666/KMJ.2021.61.3.455

Article

Kyungpook Mathematical Journal 2021; 61(3): 455-459

Published online September 30, 2021

Oh's 8-Universality Criterion is Unique

Scott Duke Kominers

Harvard Business School, Department of Economics, and Center of Mathematical Sciences and Applications, Harvard University, Rock Center 219, Soldiers Field, Boston, MA 02163, USA
e-mail : kominers@fas.harvard.edu

Received: June 8, 2020; Revised: August 30, 2020; Accepted: November 23, 2020

Abstract

Go to

Abstract

We partially characterize criteria for the n-universality of positive-definite integer-matrix quadratic forms. We then obtain the uniqueness of Oh's 8-universality criterion [11] as a corollary.

Keywords: n-universal lattice, 8-universal lattice, universality criteria, quadratic form, additively indecomposable.