A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2011; you can also visit the original URL.
The file type is
In this paper we present a subgroup of modular units that arise naturally from analytic solutions to higher order q-recurrence equations given by Selberg in his work generalizing the Rogers-Ramanujan identities. Further, we express these modular units in terms of Siegel functions as considered by Kubert and Lang, and show they generate the group of all units of the modular curves X( ) with cuspidal support on π −1 (∞), where π : X( ) → X 0 ( ) is the canonical projection.doi:10.4310/mrl.2010.v17.n2.a8 fatcat:xxemwnhsajaf3assgpq3dt552q