论文标题
某些Mellin的分析表达式及其应用于Zeta函数的主要计数函数和插值公式
Analytic expressions for some Mellin transforms with their application to prime counting function and interpolation formulas for the zeta function
论文作者
论文摘要
我们目前的工作的目的是使用S. Ramanujan在证明他的主定理中使用的方法来呈现Mellin转化的理论。我们的结果进一步应用于某些数字理论函数，例如素数函数和ZETA函数。
The aim of our present work here is to present few results in the theory of Mellin transforms using the method that S. Ramanujan used in proving his Master Theorem. Further applications of our results for some number-theoretic functions such as the prime counting function and the zeta function are established.
