English

A trace formula for vector-valued modular forms

Number Theory 2012-11-27 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1211.5911,
  title  = {A trace formula for vector-valued modular forms},
  author = {P. Bantay},
  journal= {arXiv preprint arXiv:1211.5911},
  year   = {2012}
}

Comments

14 pages. arXiv admin note: text overlap with arXiv:1104.1278

R2 v1 2026-06-21T22:44:00.834Z