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On Siegel modular forms of levelpand their properties modp

✍ Scribed by Siegfried Böcherer; Shoyu Nagaoka


Book ID
105923876
Publisher
Springer
Year
2010
Tongue
English
Weight
182 KB
Volume
132
Category
Article
ISSN
0025-2611

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## 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

Explicit Action of Hecke Operators on Si
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We develop an algorithm for determining an explicit set of coset representatives (indexed by lattices) for the action of the Hecke operators T(p), T j (p 2 ) on Siegel modular forms of fixed degree and weight. This algorithm associates each coset representative with a particular lattice W, pL ı W ı