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

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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 languageUndefined/Unknown
Pages (from-to)373-376
JournalJP Journal of Algebra, Number Theory, and Applications
Volume3
Issue number3
StatePublished - Dec 1 2003

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