Hidden Symmetries and j(τ)

Details Hidden Symmetries and j(τ) Hidden Symmetries and j(τ)

2010-12-12

arxiv.org/abs/1012.2558v1

Mathematics

Rings and Algebras

12 pages, 1 figure

Scientific paper

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.

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