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On the Petersson Norm of Certain Siegel Modular Forms

✍ Scribed by YoungJu Choie; Winfried Kohnen

Book ID
111559218
Publisher
Springer US
Year
2003
Tongue
English
Weight
48 KB
Volume
7
Category
Article
ISSN
1382-4090

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πŸ“œ SIMILAR VOLUMES

Petersson norms and liftings of Hilbert
Petersson norms and liftings of Hilbert modular forms
✍ Dominic Lanphier πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 321 KB

We prove the algebraicity of the ratio of the Petersson norm of a holomorphic Hilbert modular form over a totally real number field and the norm of its Saito-Kurokawa lift. We prove a similar result for the Ikeda lift of an elliptic modular form. In order to obtain these we combine some results on l

On convolutions of Siegel modular forms
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✍ Γ–zlem Imamoğlu; Yves Martin πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 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 β„‚^__n__^, determine its functional equations and find its singular curves. Also, we introduce and get similar results f