About: Automorphic function

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In mathematics, an automorphic function is a function on a space that is invariant under the action of some group, in other words a function on the quotient space. Often the space is a complex manifold and the group is a discrete group.

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rdfs:label	Automorphic function (en) Función automórfica (es) Автоморфная функция (ru)
rdfs:comment	In mathematics, an automorphic function is a function on a space that is invariant under the action of some group, in other words a function on the quotient space. Often the space is a complex manifold and the group is a discrete group. (en) Una función automórfica, en matemáticas, es una función en un espacio que es invariante bajo la acción de algún grupo; en otras palabras, una función en el espacio cociente. Habitualmente el espacio es una variedad compleja y el grupo es un grupo discreto. (es) Автомо́рфная фу́нкция — функция , аналитическая в некоторой области и удовлетворяющая в этой области соотношению , где — элемент некоторой счётной подгруппы группы дробно-линейных преобразований комплексной плоскости. (ru)
dcterms:subject	Types of functions Complex manifolds Discrete groups Automorphic forms
Wikipage page ID	974148 (xsd:integer)
Wikipage revision ID	1113104147 (xsd:integer)
Link from a Wikipage to another Wikipage	Types of functions Complex manifolds Holomorphic function Mathematics Complex manifold Complex torus Line bundle Discrete group Upper half-plane Quotient space (topology) Group (mathematics) Group action (mathematics) Discrete groups Automorphic forms Automorphic factor Automorphic form Kleinian group Elliptic modular function Coboundary Complex-analytic manifold Modular function dbr:Cocycle_(algebraic_topology)
Link from a Wikipage to an external page	https://books.google.com/books%3Fid=aqPvo173YIIC https://archive.org/details/vorlesungenber01fricuoft https://archive.org/details/vorlesungenber02fricuoft
sameAs	Automorphic function Automorphic function Automorphic function Automorphic function Automorphic function Automorphic function Automorphic function
dbp:wikiPageUsesTemplate	dbt:Springer dbt:Citation dbt:Short_description dbt:Eom
author	A.N. Parshin (en)
first	A.N. (en)
id	a/a014160 (en) a/a014170 (en)
last	Andrianov (en) Parshin (en)
title	Automorphic Form (en) Automorphic Function (en)
has abstract	In mathematics, an automorphic function is a function on a space that is invariant under the action of some group, in other words a function on the quotient space. Often the space is a complex manifold and the group is a discrete group. (en) Una función automórfica, en matemáticas, es una función en un espacio que es invariante bajo la acción de algún grupo; en otras palabras, una función en el espacio cociente. Habitualmente el espacio es una variedad compleja y el grupo es un grupo discreto. (es) Автомо́рфная фу́нкция — функция , аналитическая в некоторой области и удовлетворяющая в этой области соотношению , где — элемент некоторой счётной подгруппы группы дробно-линейных преобразований комплексной плоскости. (ru)
gold:hypernym	Function
prov:wasDerivedFrom	wikipedia-en:Automorphic_function?oldid=1113104147&ns=0
page length (characters) of wiki page	3984 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Automorphic_function
is Link from a Wikipage to another Wikipage of	Projective plane Bernhard Riemann Bibliography of E. T. Whittaker Hypergeometric function Transcendental curve Rényi entropy Georges Giraud Möbius transformation Complex torus Poincaré series (modular form) Cayley–Klein metric Alfred Cardew Dixon E. T. Whittaker Felix Klein Hilbert's twenty-second problem Joseph Lehner Henri Poincaré Hilbert's problems Factor of automorphy Factor of automorphism Séminaire Nicolas Bourbaki (1950–1959) Schwarz triangle function Automorphic functions

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