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Universal forms over \(\mathbb{Q}(\sqrt{5})\)

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Abstract

In this paper, we find all quaternary universal positive definite integral quadratic forms over \(\mathbb{Q}(\sqrt{5})\) and prove an analogue of Conway and Schneeberger’s 15-Theorem.

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Authors and Affiliations

  1. Pohang Mathematical Institute, Pohang University of Science and Technology, Pohang, 790784, Republic of Korea

    Young Min Lee

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  1. Young Min Lee
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Correspondence to Young Min Lee.

Additional information

This work was partially supported by KRF(2003-070-C00001).

This work was supported by the Brain Korea 21 project in 2004.

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Lee, Y.M. Universal forms over \(\mathbb{Q}(\sqrt{5})\) . Ramanujan J 16, 97–104 (2008). https://doi.org/10.1007/s11139-007-9099-4

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