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pentagonal number theorem - MaRDI portal

pentagonal number theorem (Q6481579)

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theorem

Language	Label	Description	Also known as
English	pentagonal number theorem	theorem

Statements

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defining formula

\prod _{n=1}^{\infty }\left(1-x^{n}\right)=\sum _{k=-\infty }^{\infty }\left(-1\right)^{k}x^{k\left(3k-1\right)/2}=1+\sum _{k=1}^{\infty }(-1)^{k}\left(x^{k(3k+1)/2}+x^{k(3k-1)/2}\right)

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list of theorems

language of work or name

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Identifiers

/m/01x_mc

1 reference

Freebase Data Dumps

publication date

28 October 2013

PentagonalNumberTheorem

1 reference

imported from Wikimedia project

German Wikipedia

PentagonalNumberTheorem

subject named as

Pentagonal Number Theorem

1 reference

imported from Wikimedia project

German Wikipedia

Microsoft Academic ID

34140744

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Sitelinks

Mathematics(0 entries)

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