(Q2723749)

English

Euler function

the mathematical function ∏ₖ₌₁^∞ (1−𝑞ᵏ)

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instance of

holomorphic function

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image

Euler function.png
619 × 445; 132 KB

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named after

Leonhard Euler

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defining formula

\phi (q)=\prod _{k=1}^{\infty }(1-q^{k})=(q;q)_{\infty }={\frac {1}{\sum _{k=0}^{\infty }p(k)q^{k}}}

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in defining formula

\phi

symbol represents

Euler function

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(~;~)_{\infty }

symbol represents

q-Pochhammer symbol

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p

symbol represents

partition function

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different from

Euler's totient function

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Identifiers

1 reference

28 October 2013

Microsoft Academic ID

51524170

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Sitelinks

Wikipedia(11 entries)

arwiki دالة أويلر
cawiki Funció d'Euler
enwiki Euler function
eowiki Funkcio de Euler
eswiki Función de Euler
fawiki تابع اویلر
frwiki Fonction d'Euler
itwiki Funzione di Eulero (forma modulare)
kmwiki អនុគមន៍អយល័រ
lvwiki Eilera funkcija
zhwiki 歐拉函數 (複變函數)

(Q2723749)

Euler function

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Wikipedia(11 entries)

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