DLMF:26.12.E26 (Q7943): Difference between revisions

From DRMF

Jump to navigation Jump to search

Latest revision as of 14:06, 2 January 2020

No description defined

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),}}

0 references

DLMF:26.12.E26

0 references

Riemann zeta function

Defining formula

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

C25.S2.E1.m2adec

0 references

asymptotic equality

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.E1.m2adec

0 references

exponential function

Defining formula

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

C4.S2.E19.m2adec

0 references

Defining formula

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

C26.S12.SS1.p4.m4abdec

0 references

Defining formula

{\displaystyle{\displaystyle n}}

C26.S1.XMD6.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle\pi}}

C26.S12.XMD1.m1edec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7943&oldid=43603"