English

The Dimension of the Space of Cusp Forms of Weight One

Number Theory 2016-09-06 v1

Abstract

A new upper bound is given for the dimension of the space of holomorphic cusp forms of weight one and prime level qq: dimS1(q)<<q11/12log4q \hbox{dim}\, S_1(q) << q^{11/12} \log^4{q} with an absolute implied constant.

Keywords

Cite

@article{arxiv.math/9411212,
  title  = {The Dimension of the Space of Cusp Forms of Weight One},
  author = {William Duke},
  journal= {arXiv preprint arXiv:math/9411212},
  year   = {2016}
}