English

Modular forms from the Weierstrass functions

Number Theory 2019-09-13 v1 Complex Variables

Abstract

We construct holomorphic elliptic modular forms of weight 2 and weight 1, by special values of Weierstrass p-functions, and by differences of special values of Weierstrass zeta-functions, respectively. Also we calculated the values of these forms at some cusps.

Keywords

Cite

@article{arxiv.1909.05446,
  title  = {Modular forms from the Weierstrass functions},
  author = {Hiroki Aoki and Kyoji Saito},
  journal= {arXiv preprint arXiv:1909.05446},
  year   = {2019}
}

Comments

13 pages

R2 v1 2026-06-23T11:13:02.998Z