Uniform Approximation of Continuous Functions on a Compact Riemann Surface by Elliptic Modular Forms

Michael Berg

Uniform Approximation of Continuous Functions on a Compact Riemann Surface by Elliptic Modular Forms

Mathematics, Statistics and Data Science

Research output: Contribution to journal › Article

Abstract

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.

Original language	Undefined/Unknown
Journal	Mathematics Faculty Works
State	Published - Dec 1 2003

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Cite this

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