Hidden Symmetries and j(\tau)
Rings and Algebras
2010-12-14 v1 Complex Variables
Abstract
We show that for supersingular prime p the image of a unique meromorphic function G_p on X_0(p) (of degree two, with polar divisor {[0]_0,[\infty]_0}) under a certain Hecke operator is equal to j(\tau) (up to some additional constant). This generates quantities of relations between the coefficients of j(t) and leads to some group of hidden symmetries whose order must be divided by p.
Cite
@article{arxiv.1012.2558,
title = {Hidden Symmetries and j(\tau)},
author = {K. Bugajska},
journal= {arXiv preprint arXiv:1012.2558},
year = {2010}
}
Comments
12 pages, 1 figure