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Log-Polynomial Period Functions for Hecke Groups

✍ Scribed by Abdulkadir Hassen

Book ID
110244333
Publisher
Springer US
Year
1999
Tongue
English
Weight
158 KB
Volume
3
Category
Article
ISSN
1382-4090

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πŸ“œ SIMILAR VOLUMES

Hecke operators on period functions for
Hecke operators on period functions for
✍ T. MΓΌhlenbruch πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 233 KB

Matrix representations of Hecke operators on classical holomorphical cusp forms and the corresponding period polynomials are well known. In this article we derive representations of Hecke operators for vector-valued period functions for the congruence subgroups Ξ“ 0 (n). For this we use an integral t

Explicit formulas for Hecke operators on
Explicit formulas for Hecke operators on cusp forms, Dedekind symbols and period polynomials
✍ Fukuhara, Shinji πŸ“‚ Article πŸ“… 2007 πŸ› Walter de Gruyter GmbH & Co. KG 🌐 English βš– 371 KB

Let S wΓΎ2 be the vector space of cusp forms of weight w ΓΎ 2 on the full modular group, and let S Γƒ wΓΎ2 denote its dual space. Periods of cusp forms can be regarded as elements of S Γƒ wΓΎ2 . The Eichler-Shimura isomorphism theorem asserts that odd (or even) periods span S Γƒ wΓΎ2 . However, periods are