English

The trace of $T_2$ takes no repeated values

Number Theory 2022-04-05 v2

Abstract

We prove that the trace of the Hecke operator T2T_2 acting on the vector space of cusp forms of level one takes no repeated values, except for 0, which only occurs when the space is trivial.

Keywords

Cite

@article{arxiv.2202.03461,
  title  = {The trace of $T_2$ takes no repeated values},
  author = {Liubomir Chiriac and Andrei Jorza},
  journal= {arXiv preprint arXiv:2202.03461},
  year   = {2022}
}

Comments

To appear in Indagationes Mathematicae