DLMF:26.14.E3 (Q7954)

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Language	Label	Description	Also known as
English	DLMF:26.14.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{\sigma\in\mathfrak{S}_{n}}q^{\mathop{\mathrm% {inv}}(\sigma)}=\sum_{\sigma\in\mathfrak{S}_{n}}q^{\mathop{\mathrm{maj}}(% \sigma)}=\prod_{j=1}^{n}\frac{1-q^{j}}{1-q}.}}

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DLMF:26.14.E3

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathfrak{S}_{\NVar{n}}}}

C26.S13.p1.m3adec

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Defining formula

{\displaystyle{\displaystyle j}}

C26.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle n}}

C26.S1.XMD6.m1cdec

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Defining formula

{\displaystyle{\displaystyle q}}

C26.S9.XMD1.m1dec

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