论文标题
扰乱和$ p $ - adic不完整的伽马功能
Derangements and the $p$-adic incomplete gamma function
论文作者
论文摘要
我们引入了不完整的伽马功能的$ P $ - 亚法类似物。我们还引入了与自然数字功能相关的数量（$ m $ - 价值），并证明了$ p $ - 亚种连续性的新表征，该功能具有$ p $ - integral $ m $ m $ - 价值。获得了不完整的伽马函数的积分值和具有$ m $ - 价值零或一个的功能的组合解释，这表明这些函数计算了通用对称组中的扰动和具有限制周期长度的排列。
We introduce a $p$-adic analogue of the incomplete gamma function. We also introduce quantities ($m$-values) associated to a function on natural numbers and prove a new characterization of $p$-adic continuity for functions with $p$-integral $m$-values. Combinatorial interpretations for the integral values of the incomplete gamma function and functions with $m$-values zero or one are obtained, which show that these functions count derangements in generalized symmetric groups and permutations with restricted cycle lengths.
