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- Almost_holomorphic_modular_form abstract "In mathematics, almost holomorphic modular forms, also called nearly holomorphic modular forms, are a generalization of modular forms that are polynomials in 1/Im(τ) with coefficients that are holomorphic functions of τ. A quasimodular form is the holomorphic part of an almost holomorphic modular form. An almost holomorphic modular form is determined by its holomorphic part, so the operation of taking the holomorphic part gives an isomorphism between the spaces of almost holomorphic modular forms and quasimodular forms. The archetypal examples of quasimodular forms are the Eisenstein series E2(τ) (the holomorphic part of the almost holomorphic modular form E2(τ) – 3/πIm(τ)), and derivatives of modular forms.In terms of representation theory, modular forms correspond roughly to highest weight vectors of certain discrete series representations of SL2(R), while almost holomorphic or quasimodular forms correspond roughly to other (not necessarily highest weight) vectors of these representations.".
- Almost_holomorphic_modular_form wikiPageID "42573861".
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- Almost_holomorphic_modular_form wikiPageOutDegree "6".
- Almost_holomorphic_modular_form wikiPageRevisionID "638968791".
- Almost_holomorphic_modular_form wikiPageWikiLink Category:Modular_forms.
- Almost_holomorphic_modular_form wikiPageWikiLink Chazy_equation.
- Almost_holomorphic_modular_form wikiPageWikiLink Eisenstein_series.
- Almost_holomorphic_modular_form wikiPageWikiLink Mathematics.
- Almost_holomorphic_modular_form wikiPageWikiLink Modular_form.
- Almost_holomorphic_modular_form wikiPageWikiLink Springer-Verlag.
- Almost_holomorphic_modular_form wikiPageWikiLink Springer_Science+Business_Media.
- Almost_holomorphic_modular_form wikiPageWikiLinkText "Almost holomorphic modular form".
- Almost_holomorphic_modular_form hasPhotoCollection Almost_holomorphic_modular_form.
- Almost_holomorphic_modular_form wikiPageUsesTemplate Template:Citation.
- Almost_holomorphic_modular_form wikiPageUsesTemplate Template:Distinguish.
- Almost_holomorphic_modular_form wikiPageUsesTemplate Template:Reflist.
- Almost_holomorphic_modular_form subject Category:Modular_forms.
- Almost_holomorphic_modular_form hypernym Generalization.
- Almost_holomorphic_modular_form type Thing.
- Almost_holomorphic_modular_form comment "In mathematics, almost holomorphic modular forms, also called nearly holomorphic modular forms, are a generalization of modular forms that are polynomials in 1/Im(τ) with coefficients that are holomorphic functions of τ. A quasimodular form is the holomorphic part of an almost holomorphic modular form.".
- Almost_holomorphic_modular_form label "Almost holomorphic modular form".
- Almost_holomorphic_modular_form differentFrom Weakly_holomorphic_modular_form.
- Almost_holomorphic_modular_form sameAs m.010f5bpk.
- Almost_holomorphic_modular_form sameAs Nästan_analytisk_modulär_form.
- Almost_holomorphic_modular_form sameAs Q17002045.
- Almost_holomorphic_modular_form sameAs Q17002045.
- Almost_holomorphic_modular_form wasDerivedFrom Almost_holomorphic_modular_form?oldid=638968791.
- Almost_holomorphic_modular_form isPrimaryTopicOf Almost_holomorphic_modular_form.