JP Journal of Algebra, Number Theory and Applications
Volume 3, Issue 3, Pages 373 - 376
(December 2003)
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UNIFORM
APPROXIMATION OF CONTINUOUS FUNCTIONS ON A
COMPACT RIEMANN SURFACE BY ELLIPTIC MODULAR
FORMS
Michael Berg (U. S. A.)
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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
on the complex upper half-plane by fractional
linear transformations. |
Keywords and phrases: uniform
approximation, modular forms. |
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