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An Analogy of Bol's Result on Jacobi Forms and Siegel Modular Forms

✍ Scribed by Youngju Choie; Haesuk Kim

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
104 KB
Volume
257
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, the analogy of Bol's result to the several variable function case is discussed. One shows how to construct Siegel modular forms and Jacobi forms of higher degree, respectively, using Bol's result.

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On convolutions of Siegel modular forms
On convolutions of Siegel modular forms
✍ Özlem Imamoğlu; Yves Martin 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 289 KB

## Abstract In this article we study a Rankin‐Selberg convolution of __n__ complex variables for pairs of degree __n__ Siegel cusp forms. We establish its analytic continuation to ℂ^__n__^, determine its functional equations and find its singular curves. Also, we introduce and get similar results f