Minimal S-universality criteria may vary in size

2011/01/29 by Noam D. Elkies, Daniel M. Kane, Elkies, Noam D. +3 · 1 citation
Mathematics · #11E20 #11E25 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11E20 #msc:11E25

paper · pdf · doi:10.48550/arxiv.1101.5662

5 pages

arxiv created 2011/01/29 · arxiv updated 2011/02/01

Abstract

In this note, we give simple examples of sets S of quadratic forms that have minimal S-universality criteria of multiple cardinalities. This answers a question of Kim, Kim, and Oh in the negative.

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