Poincaré series (modular form)

id: poincar-series-modular-form-306-6614533
title: Poincaré series (modular form)
text: In number theory, a Poincaré series is a mathematical series generalizing the classical theta series that is associated to any discrete group of symmetries of a complex domain, possibly of several complex variables. In particular, they generalize classical Eisenstein series. They are named after Henri Poincaré. If Γ is a finite group acting on a domain D and H(z) is any meromorphic function on D, then one obtains an automorphic function by averaging over Γ: However, if Γ is a discrete group, the
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original url: https://en.wikipedia.org/wiki/Poincar%C3%A9_series_(modular_form)
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date modified: 2018-05-10T19:43:26Z
main entity: {"identifier":"Q7207871","url":"https://www.wikidata.org/entity/Q7207871"}
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