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added to modular form a brief paragraph with a minimum of information on modular forms As automorphic forms. Needs to be expanded.
Removed incorrect information about modular forms being sections of line bundles on Riemann moduli spaces. The Riemann moduli spaces for genus g > 1 are not even quotients of the upper half-plane (they are quotients of the genus g Teichmüller space, a higher-dimensional complex manifold) so none of the statements written even made sense. I believe what was intended was that they are sections of line bundles on modular curves, which are quotients of the upper half-plane.
Anonymous
Thanks. It looks like I wrote this in rev 28, Sept. 2014.
I have also added the DOI-links:
Erich Hecke, Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I., Mathematische Annalen 114 (1937) 1–28 [doi:10.1007/BF01594160]
Erich Hecke, Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. II., Mathematische Annalen (in German), 114 (1937) 316–351 [doi:10.1007/BF01594180]
added pointer to today’s:
added pointer to:
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