Analytic expressions for some Mellin transforms with their application to prime counting function and interpolation formulas for the zeta function
arXiv:2203.02278
Abstract
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.
arXiv comment10 pages, Accepted for publication in Palestine journal of mathematics