Smarandache双阶乘对偶函数的恒等式

摘要

探究了Smarandache双阶乘对偶函数S^＊＊（n）与Mangoldt函数A（n）构成的级教^∞∑n=1∧（n）S^＊＊（n）的收敛性。利用初等方法讨论了该级数与RiemannZeta-函数之间的关系，得到了一个有趣的恒等式．%The convergent property of series ^∞∑n=1∧(n)S^**(n)is studied, which combines with the Smarandache double factorial dual function S^** ( the series and the Riemann Zeta-function is n) and Mangoldt function A(n). The relationship between discussed, an interesting identity is obtained by using elementary methods.