Modular form: Difference between revisions

Revision as of 04:02, 14 February 2005

Revision as of 04:58, 14 February 2005

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{{MathCOTW}}

A '''modular form''' is an [[analytic function]] on the [[upper half plane]] satisfying a certain kind of [[functional equation]] and growth condition. The theory of modular forms therefore belongs to [[complex analysis]] but the main importance of the theory lies in its connections with [[number theory]].