대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제55권5호
  • /
  • Pages.1621-1625
  • /
  • 2018
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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HOLOMORPHIC DERIVATIVES OF SIEGEL MODULAR FORMS

  • 투고 : 2017.10.31
  • 심사 : 2018.05.02
  • 발행 : 2018.09.30
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초록

In this paper, following a criterion of E. Yang and L. Yin we discuss whether on the Siegel half-space of genus $g{\geq}2$ a holomorphic derivative exists.

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참고문헌

  1. A. Klemm, M. Poretschkin, T. Schimannek, and M. Westerholt-Raum, Direct integration for mirror curves of genus two and an almost meromorphic Siegel modular form, arXiv1502.00557 hep-th, 2015.
  2. A. Pitale, A. Saha, R. Schmidt, Lowest weight modules of $Sp_4(R)$ and nearly holomorphic Siegel modular forms, arXiv1501.00524 math.NT, 2015.
  3. R. Weissauer, Vektorwertige Siegelsche Modulformen kleinen Gewichtes, J. Reine Angew. Math. 343 (1983), 184-202.
  4. E. Yang and L. Yin, Derivatives of Siegel modular forms and modular connections, Manuscripta Mathematica 46 (2015), no. 1, 65-84. https://doi.org/10.1007/BF01185195