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

Authors

Michael Berg, Loyola Marymount UniversityFollow

Document Type

Article

Publication Date

12-2003

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 Publication Citation

“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.

Publisher Statement

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 http://www.pphmj.com/abstract/1748.htm. © 2003 Pushpa Publishing House.

Digital Commons @ LMU & LLS Citation

Berg, Michael, "Uniform Approximation of Continuous Functions on a Compact Riemann Surface by Elliptic Modular Forms" (2003). Mathematics, Statistics and Data Science Faculty Works. 82.
https://digitalcommons.lmu.edu/math_fac/82