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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

Authors :
Candelori, Luca
Franc, Cameron
Kopp, Gene S.
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

Subjects :
Mathematics - Number Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1606.07844
Document Type :
Working Paper