English

The dimension of vector-valued modular forms of integer weight

Number Theory 2011-04-08 v1

Abstract

We present a dimension formula for spaces of vector-valued modular forms of integer weight in case the associated multiplier system has finite image, and discuss the weight distribution of the module generators of holomorphic and cusp forms, as well as the duality relation between cusp forms and holomorphic forms for the contragredient.

Keywords

Cite

@article{arxiv.1104.1278,
  title  = {The dimension of vector-valued modular forms of integer weight},
  author = {P. Bantay},
  journal= {arXiv preprint arXiv:1104.1278},
  year   = {2011}
}

Comments

18 pages

R2 v1 2026-06-21T17:50:42.825Z