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Some congruences for Saito-Kurokawa lifts

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Abstract

We give two examples of congruences between Saito-Kurokawa lifts. Moreover, we prove that a certain p-adic limit of Siegel-Eisenstein series of level one becomes a Siegel modular form of level p and trivial character.

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Authors and Affiliations

  1. Faculty and School of Engineering, The University of Tokushima, 2-1, Minami-josanjima-cho, Tokushima, 770-8506, Japan

    Yoshinori Mizuno

  2. Department of Mathematics, Faculty of Science and Technology, Kinki University, Higashi Osaka, Osaka, 577-8502, Japan

    Shoyu Nagaoka

Authors
  1. Yoshinori Mizuno
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  2. Shoyu Nagaoka
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Correspondence to Yoshinori Mizuno.

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Communicated by U. Kühn.

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Mizuno, Y., Nagaoka, S. Some congruences for Saito-Kurokawa lifts. Abh. Math. Semin. Univ. Hambg. 80, 9–23 (2010). https://doi.org/10.1007/s12188-009-0029-9

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  • DOI: https://doi.org/10.1007/s12188-009-0029-9

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