%0 Journal Article
%T The Divisor Matrix, Dirichlet Series and SL(2,Z), II
%A Peter Sin
%A John G. Thompson
%J Mathematics
%D 2008
%I arXiv
%X We examine an elliptic curve constructed in an earlier paper from a certain representation of $\SL(2,\Z)$ on the space of convergent Dirichlet series. The curve is observed to be a modular curve for $\Gamma^1(15)$ and a certain orbit of modular functions is thereby associated with the Riemann zeta function. Explicit descriptions are given of these functions and of the permutation action of $\SL(2,\Z)$ on them.
%U http://arxiv.org/abs/0803.1121v8