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Elementary Introduction to p-Adic Siegel Modular Forms

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L-Functions and Automorphic Forms

Part of the book series: Contributions in Mathematical and Computational Sciences ((CMCS,volume 10))

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Abstract

We give an introduction to the theory of Siegel modular forms mod p and their p-adic refinement from an elementary point of view, following the lines of Serre’s presentation (J.-P. Serre, Formes modulaires et fonctions zeta p-adiques. In: Modular Functions of One Variable III. Lecture Notes in Mathematics, vol. 350. Springer, New York, 1973) of the case SL(2).

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Authors and Affiliations

  1. Kunzenhof 4B, 79117, Freiburg, Germany

    Siegfried Böcherer

Authors
  1. Siegfried Böcherer
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Correspondence to Siegfried Böcherer .

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Editors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt, Germany

    Jan Hendrik Bruinier

  2. Mathematisches Institut, Universität Heidelberg, Heidelberg, Germany

    Winfried Kohnen

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Böcherer, S. (2017). Elementary Introduction to p-Adic Siegel Modular Forms. In: Bruinier, J., Kohnen, W. (eds) L-Functions and Automorphic Forms. Contributions in Mathematical and Computational Sciences, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-319-69712-3_18

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