Formula:8636

Digital Library of Mathematical Functions ID 26.12.E26

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \nplanepartitions@{n}\asympeq\frac{\left(\Riemannzeta@{3}\right)^{7/36}}{2^{11/36}(3\pi)^{1/2}n^{25/36}}\exp\left(3\left(\Riemannzeta@{3}\right)^{1/3}\left(\tfrac{1}{2}n\right)^{2/3}+\Riemannzeta'@{-1}\right),}

Symbols List

• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle\sim}}$: asymptotic equality
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\mathrm{pp}\left(\NVar{n}\right)}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle\pi}}$: plane partition
 

Resources that cite this formula

No records found.