论文标题
$ p $ - 亚种的非平凡下限，是某种类型的合理数字的估值，以及建立某些理性序列的完整性的应用
Nontrivial lower bounds for the $p$-adic valuations of some type of rational numbers and an application for establishing the integrality of some rational sequences
论文作者
论文摘要
在本说明中，基于Diologarithm函数的某个功能方程式，我们建立了涉及谐波数量的某种类型的合理数字的$ P $ -ADIC估值（其中$ p $是给定的质量数）的非平凡的下限。然后，我们使用估计来得出某些有理数序列的完整性，这些序列从其定义直接看出。
In this note, basing on a certain functional equation of the dilogarithm function, we establish nontrivial lower bounds for the $p$-adic valuation (where $p$ is a given prime number) of some type of rational numbers involving harmonic numbers. Then we use our estimate to derive the integrality of some sequences of rational numbers, which cannot be seen directly from their definitions.
