DLMF:26.12.E26 (Q7943)

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Language	Label	Description	Also known as
English	DLMF:26.12.E26	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{pp}\left(n\right)\sim\frac{\left(\zeta% \left(3\right)\right)^{7/36}}{2^{11/36}(3\pi)^{1/2}n^{25/36}}\exp\left(3\left(% \zeta\left(3\right)\right)^{1/3}\left(\tfrac{1}{2}n\right)^{2/3}+\zeta'\left(-% 1\right)\right),}}

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DLMF:26.12.E26

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Riemann zeta function

Defining formula

{\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}

C25.S2.E1.m2adec

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asymptotic equality

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.E1.m2adec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{pp}\left(\NVar{n}\right)}}

C26.S12.SS1.p4.m4abdec

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Sitelinks

Wikipedia(0 entries)

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