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Notes on theta series for Niemeier lattices

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Abstract

Some explicit expressions are given for the theta series of Niemeier lattices. As an application, we present some of their congruence relations.

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Authors and Affiliations

  1. Department of Mathematics, Kindai University, Higashi-Osaka, Osaka, 577-8502, Japan

    Shoyu Nagaoka

  2. Department of Mathematics, Hokkaido University, Kita 10, Nishi 8, Kita-Ku, Sapporo, Hokkaido, 060-0810, Japan

    Sho Takemori

Authors
  1. Shoyu Nagaoka
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  2. Sho Takemori
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Corresponding author

Correspondence to Shoyu Nagaoka.

Additional information

This work was supported by JSPS KAKENHI. The first author: Grants-in-Aid (C) (No. 25400031). The second author: Grants-in-Aid (S) (No. 23224001).

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Nagaoka, S., Takemori, S. Notes on theta series for Niemeier lattices. Ramanujan J 42, 385–400 (2017). https://doi.org/10.1007/s11139-015-9720-x

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  • DOI: https://doi.org/10.1007/s11139-015-9720-x

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