Γ函数值在具有相同分母的分数处的乘积
A product of Gamma function values at fractions with the same denominator
摘要:
设D(n)是单位区间内分母最低项等于$n$的所有分数的集合。我们计算D(n)点处的Γ函数的值的乘积,作为$n$的函数;答案取决于$n$是否是素数幂。
英文摘要:
Let D(n) be the set of all fractions in the unit interval whose denominator in lowest terms equals $n$. We evaluate the product of the values of the Gamma function at the points of D(n), as a function of $n$; the answer depends on whether or not $n$ is a prime power.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。