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11-XX Number theory
11Exx Forms and linear algebraic groups
11E20 General ternary and quaternary quadratic forms; forms of more than two variables

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Minimal $𝒮$ -universality criteria may vary in size

Noam D. Elkies, Daniel M. Kane, Scott Duke Kominers (2013)

Journal de Théorie des Nombres de Bordeaux

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.

Modular properties of theta-functions and representation of numbers by positive quadratic forms.

Vepkhvadze, T. (1997)

Georgian Mathematical Journal

Currently displaying 1 – 2 of 2

Page 1

Displaying 1 – 2 of 2

Minimal 𝒮 -universality criteria may vary in size

Modular properties of theta-functions and representation of numbers by positive quadratic forms.

Currently displaying 1 – 2 of 2

Minimal $𝒮$ -universality criteria may vary in size