English

Pfaffian control of some polynomials involving the $j$--function and Weierstrass elliptic functions

Number Theory 2020-11-19 v1

Abstract

We give new bounds on the zeros of polynomials in zz and the jj--function, and zz and Weierstrass elliptic functions with rectangular associated lattice, controlling the zeros of these functions by their tame behaviour on the boundaries of their respective fundamental domains.

Keywords

Cite

@article{arxiv.2011.09382,
  title  = {Pfaffian control of some polynomials involving the $j$--function and Weierstrass elliptic functions},
  author = {John Armitage},
  journal= {arXiv preprint arXiv:2011.09382},
  year   = {2020}
}