| 释义 |
- Examples
- References
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. Examples- Kleinian group
- Elliptic modular function
- Modular function
References- {{eom|id=a/a014170|first=A.N. |last=Andrianov|first2= A.N. |last2=Parshin|title=Automorphic Function}}
- {{Citation | last1=Ford | first1=Lester R. |authorlink=Lester R. Ford| title=Automorphic functions | url=https://books.google.com/books?id=aqPvo173YIIC | publisher=New York, McGraw-Hill | isbn=978-0-8218-3741-2 | jfm=55.0810.04 | year=1929}}
- {{Citation | last1=Fricke | first1=Robert | last2=Klein | first2=Felix |authorlink1=Robert Fricke|authorlink2= Felix Klein| title=Vorlesungen über die Theorie der automorphen Functionen. Erster Band; Die gruppentheoretischen Grundlagen. | url=https://archive.org/details/vorlesungenber01fricuoft | publisher=Leipzig: B. G. Teubner | language=German | isbn=978-1-4297-0551-6 | jfm=28.0334.01 | year=1897}}
- {{Citation | last1=Fricke | first1=Robert | last2=Klein | first2=Felix | title=Vorlesungen über die Theorie der automorphen Functionen. Zweiter Band: Die funktionentheoretischen Ausführungen und die Anwendungen. 1. Lieferung: Engere Theorie der automorphen Funktionen. | url=https://archive.org/details/vorlesungenber02fricuoft | publisher=Leipzig: B. G. Teubner. | language=German | isbn=978-1-4297-0552-3 | jfm=32.0430.01 | year=1912}}
3 : Discrete groups|Types of functions|Complex manifolds |