arXiv Analytics

Sign in

arXiv:1211.5911 [math.NT]AbstractReferencesReviewsResources

A trace formula for vector-valued modular forms

P. Bantay

Published 2012-11-26Version 1

We present a formula for vector-valued modular forms, expressing the value of the Hilbert-polynomial of the module of holomorphic forms evaluated at specific arguments in terms of traces of representation matrices, restricting the weight distribution of the free generators.

Comments: 14 pages. arXiv admin note: text overlap with arXiv:1104.1278
Categories: math.NT
Subjects: 11F99, 13C05
Related articles: Most relevant | Search more
arXiv:1104.1278 [math.NT] (Published 2011-04-07)
The dimension of vector-valued modular forms of integer weight
arXiv:1307.1997 [math.NT] (Published 2013-07-08, updated 2020-08-10)
On Quasi-Modular Forms, Almost Holomorphic Modular Forms, and the Vector-Valued Modular Forms of Shimura
arXiv:1406.2918 [math.NT] (Published 2014-06-11)
Uniform bounds on sup-norms of holomorphic forms of real weight

Links

Toolbox