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Generating weights for the Weil representation attached to an even order cyclic quadratic module
Generating weights for the Weil representation attached to an even order cyclic quadratic module
- Publication Year :
- 2016
-
Abstract
- We develop geometric methods to study the generating weights of free modules of vector valued modular forms of half-integral weight, taking values in a complex representation of the metaplectic group. We then compute the generating weights for modular forms taking values in the Weil representation attached to cyclic quadratic modules of order 2p^r, where p is a prime greater than three. We also show that the generating weights approach a simple limiting distribution as p grows, or as r grows and p remains fixed.
- Subjects :
- Mathematics - Number Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1606.07844
- Document Type :
- Working Paper