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The Siegel operator and Hecke operators

โœ Scribed by N. A. Zharkovskaya

Publisher
Springer US
Year
1974
Tongue
English
Weight
502 KB
Volume
8
Category
Article
ISSN
0016-2663

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๐Ÿ“œ SIMILAR VOLUMES

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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 ฤฑ W ฤฑ

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It has been known how to construct pseudodifferential operators from modular forms and Jacobi-like forms. In this paper, we construct Hecke operators on the pseudodiiferential operators that are compatible with the usual Hecke operators on modular forms and Jacobi-like forms. (~) 1998 Elsevier Scien