论文标题
$π/3 $和其他身份的无限系列
Infinite series for $π/3$ and other identities
论文作者
论文摘要
使用微积分的技术,我们结合了$π$,$ \ operatotorname {ln} 2 $和谐波数的经典身份,以达到一个不错的$π/3 $的无限系列公式,这似乎并不众所周知。此外,我们给出了涉及$π$和其他非理性数字的二十七个相关身份。 发表于庆祝PI Day 2022。
Using techniques from calculus, we combine classical identities for $π$, $\operatorname{ln}2$, and harmonic numbers, to arrive at a nice infinite series formula for $π/3$ that does not appear to be well known. In addition, we give twenty-seven related identities involving $π$ and other irrational numbers. Posted in celebration of Pi Day 2022.