Physical Sciences and Mathematics Commons^™

Uniform Approximation Of Continuous Functions On A Compact Riemann Surface By Elliptic Modular Forms, Michael Berg

Mathematics Faculty Works

We show that the graded algebra of elliptic modular forms and their conjugates comprises a uniformly dense subspace of the space of all continuous functions on the compactification of the fundamental domain for the action of SL₂(Z) on the complex upper half-plane by fractional linear transformations.