automorphic form wikipedia - EAS
- See moreSee all on Wikipediahttps://en.wikipedia.org/wiki/Automorphic_form
In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup of the topological group. Automorphic forms are a generalization of the idea of … See more
In mathematics, the notion of factor of automorphy arises for a group acting on a complex-analytic manifold. Suppose a group acts on a complex-analytic manifold . Then, also acts on the space of holomorphic functions See more
Before this very general setting was proposed (around 1960), there had already been substantial developments of automorphic forms … See more
• Quotations related to Automorphic form at Wikiquote See more
The subsequent notion of an "automorphic representation" has proved of great technical value when dealing with G an algebraic group, … See more
• Automorphic factor
• Factor of automorphy
• Maass cusp form
• Automorphic Forms on GL(2), a book by H. Jacquet and Robert Langlands See moreWikipedia text under CC-BY-SA license - https://en.wikipedia.org/wiki/Automorphic_function
In mathematics, the notion of factor of automorphy arises for a group acting on a complex-analytic manifold. Suppose a group acts on a complex-analytic manifold . Then, also acts on the space of holomorphic functions from to the complex numbers. A function is termed an automorphic form if the following holds:
where is an everywhere nonzero holomorphic function. Equivalently, an automorphic form is a fu…Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 2 mins
- https://en.wikiquote.org/wiki/Automorphic_form
Automorphic forms can be thought of as fundamental particles in harmonic analysis, which deals in part with waves and frequencies. In a symphony orchestra, automorphic forms issue …
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- https://www.wikipedia.org/?title=Automorphic_form
Wikipedia is a free online encyclopedia, created and edited by volunteers around the world and hosted by the Wikimedia Foundation. Wikipedia The Free Encyclopedia English 6 458 000+ …
Automorphic form by Wikipedia
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Automorphic form - HandWiki
https://handwiki.org/wiki/Automorphic_formThe Dedekind eta-function is an automorphic form in the complex plane. In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group …
- https://encyclopediaofmath.org/wiki/Automorphic_form
Apr 25, 2020 · Automorphic form. A meromorphic function on a bounded domain $ D $ of the complex space $ \mathbf C ^ {n} $ that, for some discrete group of transformations $ \Gamma …
Automorphic form - Wikipedia @ WordDisk
https://worddisk.com/wiki/Automorphic_formIn harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector space) which is invariant …
- https://ko.wikipedia.org/wiki/보형_형식
수학에서 보형 형식(保型 形式,또는 자기동형 형식(自己同型 形式) 영어: automorphic form)은 고전적인 모듈러 형식을 임의의 리 군 및 그 이산 부분군으로 일반화시킨 개념이다. 즉, 어떤 이산 …
- https://ja.wikipedia.org/wiki/保型形式
調和解析 や 数論 において、 保型形式 (ほけいけいしき、 英: automorphic form )は、 位相群 G 上で定義された複素数(あるいは複素 ベクトル空間 )値の函数で、離散部分群 Γ ⊂ G の作 …
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