Minimal 𝒮-universality criteria may vary in size
Journal de Théorie des Nombres de Bordeaux, Volume 25 (2013) no. 3, pp. 557-563.

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 [KKO05] in the negative.

Nous donnons des exemples simples d’ensembles 𝒮 de formes quadratiques qui ont des critères d’universalité minimaux de plusieurs cardinalités. Nous donnons ainsi une réponse négative à une question de Kim, Kim et Oh [KKO05].

Received:
Published online:
DOI: 10.5802/jtnb.848
Classification: 11E20,  11E25
Keywords: universality criteria, quadratic forms 
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Noam D. Elkies; Daniel M. Kane; Scott Duke Kominers. Minimal $\mathcal{S}$-universality criteria may vary in size. Journal de Théorie des Nombres de Bordeaux, Volume 25 (2013) no. 3, pp. 557-563. doi : 10.5802/jtnb.848. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.848/

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