English

On the zeros of odd weight Eisenstein series

Number Theory 2026-01-23 v1

Abstract

We count the number of zeros of the holomorphic odd weight Eisenstein series in all SL2(Z)\mathrm{SL}_2(\mathbb{Z})-translates of the standard fundamental domain.

Keywords

Cite

@article{arxiv.2312.12163,
  title  = {On the zeros of odd weight Eisenstein series},
  author = {Jan-Willem van Ittersum and Berend Ringeling},
  journal= {arXiv preprint arXiv:2312.12163},
  year   = {2026}
}

Comments

22 pages, 2 figures, 2 tables