Mixed Siegel modular forms and special values of certain Dirichlet series
SCIE
SCOPUS
- Title
- Mixed Siegel modular forms and special values of certain Dirichlet series
- Authors
- Choie, YJ; Lee, MH
- Date Issued
- 2000-01
- Publisher
- SPRINGER-VERLAG WIEN
- Abstract
- Let phi : H-nr --> C be a Siegel modular form of weight l, and let tau (sigma) : H-n --> H-nr be an Eichler embedding, where H-n denotes the Siegel upper half space of degree n. We use the notion of mixed Siegel modular forms to construct the linear map L-phi,L-tau sigma* : Yk+lr(N) --> Y-k(N) of the spaces of Siegel cusp forms for the congruence subgroup Gamma (0)(N) subset of Sp(n, R) and express the Fourier coefficients of the image L-phi,L-tau sigma* f of an element f is an element of Yk+lr(N) under L-phi,L-tau sigma* in terms of special values of a certain Dirichlet series. We also discuss connections between mixed Siegel cusp forms and holomorphic forms on a family of abelian varieties. 2000 Mathematics Subject Classification: 11F30, 11F46, 11F67; 14K10.
- Keywords
- mixed Siegel modular form; Dirichlet series; AUTOMORPHIC-FORMS; CUSP FORMS; VARIETIES; CONSTRUCTION
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/19757
- DOI
- 10.1007/PL00010088
- ISSN
- 0026-9255
- Article Type
- Article
- Citation
- MONATSHEFTE FUR MATHEMATIK, vol. 131, no. 2, page. 109 - 122, 2000-01
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.