On the Spezialschar of Maass
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-05
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Let Mk(n) be the space of Siegel modular forms of degree n and even weight k.
In this paper firstly a certain subspace Spez(Mk(2n)), the Spezialschar of Mk(2n), is introduced.
In the setting of the Siegel threefold, it is proven that this Spezialschar is the Maass Spezialschar.
Secondly, an embedding of Mk(2) into a direct sum ⨁υ=0⌊k/10⌋ Sym2Mk+2υ is given.
This leads to a basic characterization of the Spezialschar property.
The results of this paper are directly related to the nonvanishing of certain special values of L-functions related to the Gross-Prasad conjecture.
This is illustrated by a significant example in the paper.
American Psychological Association (APA)
Heim, Bernhard. 2010. On the Spezialschar of Maass. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-493769
Modern Language Association (MLA)
Heim, Bernhard. On the Spezialschar of Maass. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-15.
https://search.emarefa.net/detail/BIM-493769
American Medical Association (AMA)
Heim, Bernhard. On the Spezialschar of Maass. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-493769
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493769
