[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b170955

HOLOMORPHIC DERIVATIVES OF SIEGEL MODULAR FORMS

Hofmann, Eric (Department of Mathematical Sciences Durham University)
Kohnen, Winfried (Mathematisches Institut Universitat Heidelberg)

Publication Information

Bulletin of the Korean Mathematical Society / v.55, no.5, 2018 , pp. 1621-1625 More about this Journal

Abstract

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.

Keywords

Siegel modular forms; holomorphic derivatives;

Citations & Related Records

Reference

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. DOI