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Holomorphic derivatives of Siegel modular forms
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In this paper, following a criterion of E.\ Yang and L.\ Yin \cite{Yang2015} we discuss whether on the Siegel half-space of genus $g\geq 2$ a holomorphic derivative exists.
Abstract
In this paper, following a criterion of E.\ Yang and L.\ Yin \cite{Yang2015} we discuss whether on the Siegel half-space of genus $g\geq 2$ a holomorphic derivative exists.
참고문헌 (4)
- A. Klemm, "Direct integration for mirror curves of genus two and an almost meromorphic Siegel modular form", ~ (2015)
- A. Pitale, "Lowest weight modules of <TEX>$Sp_4(R)$<", TEX> and nearly holomorphic Siegel modular forms, 2015
- R. Weissauer, "Vektorwertige Siegelsche Modulformen kleinen Gewichtes", J. Reine Angew. Math., 343, pp.184~202 (1983)
- E. Yang, "Derivatives of Siegel modular forms and modular connections", Manuscripta Mathematica, 46(1), pp.65~84 (2015)
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