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A note on integral Euclidean lattices in dimension 3

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Abstract.

We prove that the theta series of any integral Euclidean lattice of dimension 3 is not congruent to 1 modulo any odd prime.

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Authors and Affiliations

  1. Faculty of Mathematics, Graduate School, Kyushu University, Hakozaki 6-10-1, Higashi-ku, Fukuoka, 812-8581, Japan

    Eiichi Bannai

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  1. Eiichi Bannai
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Correspondence to Eiichi Bannai.

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Received: 18 March 2005; revised: 19 April 2005

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Bannai, E. A note on integral Euclidean lattices in dimension 3. Arch. Math. 86, 56–59 (2006). https://doi.org/10.1007/s00013-005-1517-5

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  • DOI: https://doi.org/10.1007/s00013-005-1517-5

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