2013
Article
Journal de Théorie des Nombres de Bordeaux

Minimal S-Universality Criteria May Vary in Size

By: Noam D. Elkies, Daniel M. Kane and Scott Duke Kominers

Format:Print

Abstract

In this note, we give simple examples of sets $\mathcal{S}$ of quadratic forms that have minimal $\mathcal{S}$-universality criteria of multiple cardinalities. This answers a question of Kim, Kim, and Oh [KKO05] in the negative.

Citation

Elkies, Noam D., Daniel M. Kane, and Scott Duke Kominers. "Minimal S-Universality Criteria May Vary in Size." Journal de Théorie des Nombres de Bordeaux 25, no. 3 (2013): 557–563.