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A note on odd unimodular Euclidean lattices

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Abstract.

We prove that the theta series of any odd unimodular Euclidean lattice is not congruent to 1 modulo any odd prime p.

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Authors and Affiliations

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

    Hiroshi Nozaki

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  1. Hiroshi Nozaki
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Correspondence to Hiroshi Nozaki.

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Received: 18 March 2005

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Nozaki, H. A note on odd unimodular Euclidean lattices. Arch. Math. 86, 226–230 (2006). https://doi.org/10.1007/s00013-005-1518-4

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  • DOI: https://doi.org/10.1007/s00013-005-1518-4

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