The Divisor Matrix, Dirichlet Series and SL(2,Z), II
Abstract
We examine an elliptic curve constructed in an earlier paper from a certain representation of (2,) on the space of convergent Dirichlet series. The curve is observed to be a modular curve for 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 (2,) on them.
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