侯庆虎
- 教师名称：侯庆虎
- 教师拼音名称：Hou Qinghu
- 出生日期：1974-12-03
- 性别：男
- 职称：教授
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Mathematica package --- BRP
点击次数:
摘要:This Mathematica package computes the lower and upper bounds of the ratio of the partition functions.
For example, by the command
pnRatBound[2, z]
we get
{1 + (-((2 \[Pi]^2)/3) + \[Pi]^4/18)/z^2 + \[Pi]^2/(
3 z), 80.8809/z^3, 66.1168/z^3, 30}
which means that for n > 30,
f(z) - 80.8809/z^3 < p(n+1)/p(n) < f(z) + 66.1168/z^3,
where
f(z) = 1 + (-((2 \[Pi]^2)/3) + \[Pi]^4/18)/z^2 + \[Pi]^2/(
3 z)
and
z = mu(n) = Pi*Sqrt[24 n - 1]/6.
是否译文:否
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