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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.

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Permission has been granted by the Pushpa Publishing House to supply this article for educational and research purposes. More info can be found about the JP Journal of Algebra, Number Theory & Applications at © 2003 Pushpa Publishing House.

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“Uniform Approximation of Continuous Functions on a Compact Riemann Surface by Elliptic Modular Forms,” JP Journal of Algebra, Number Theory, and Applications, 3(3), December 2003, 373-376.

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