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On Explicit Dimension Formulas for Spaces of Siegel Cusp Forms of Degree Two and Their Applications

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Automorphic Forms

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 115))

Abstract

In this article, we will survey our studies of explicit dimension formulas for Siegel cusp forms of degree two and their applications. After we summarize some known results in Sect. 3, we will explain a new result which was obtained in a joint work with Ibukiyama. It is an explicit dimension formula for Siegel paramodular cusp forms of square-free level. We will discuss its application in Sect. 5.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Education, Wakayama University, Sakaedani 930, Wakayama-city, 640-8510, Japan

    Hidetaka Kitayama

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  1. Hidetaka Kitayama
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Correspondence to Hidetaka Kitayama .

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Editors and Affiliations

  1. Department of Mathematics and Science, German University of Technology in Oman, Muscat, Oman

    Bernhard Heim

  2. Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Oman

    Mehiddin Al-Baali

  3. Department of Mathematics Graduate School of Science, Osaka University, Osaka, Japan

    Tomoyoshi Ibukiyama

  4. Department of Mathematics and Science, German University of Technology in Oman, Muscat, Oman

    Florian Rupp

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Kitayama, H. (2014). On Explicit Dimension Formulas for Spaces of Siegel Cusp Forms of Degree Two and Their Applications. In: Heim, B., Al-Baali, M., Ibukiyama, T., Rupp, F. (eds) Automorphic Forms. Springer Proceedings in Mathematics & Statistics, vol 115. Springer, Cham. https://doi.org/10.1007/978-3-319-11352-4_10

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