Modular form: Difference between revisions

Revision as of 04:06, 9 September 2023

Revision as of 08:04, 22 September 2023

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{{Redirect|Modular function|text=A distinct use of this term appears in relation to [[Haar measure#The modular function|Haar measure]]}}

In [[mathematics]], a '''modular form''' is a (complex) [[analytic function]] on the [[upper half-plane]], <math>\,\mathcal{H}\,</math>, that satisfies:

* a kind of [[functional equation]] with respect to the [[Group action (mathematics)|group action]] of the [[modular group]],