Minimal S-Universality Criteria May Vary in Size

Noam D. Elkies; Daniel M. Kane; Scott Duke Kominers

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Article | Journal de Théorie des Nombres de Bordeaux | 2013

Minimal S-Universality Criteria May Vary in Size

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

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.

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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.

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Scott Duke Kominers

MBA Class of 1960 Associate Professor of Business Administration

Entrepreneurial Management

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Minimal S-Universality Criteria May Vary in Size

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