Mellin Transform
The Mellin transform of the Chebyshev function can be found by applying Perron's formula:
which holds for .
Read more about this topic: Von Mangoldt Function
Famous quotes containing the word transform:
“The source of our actions resides in an unconscious propensity to regard ourselves as the center, the cause, and the conclusion of time. Our reflexes and our pride transform into a planet the parcel of flesh and consciousness we are.”
—E.M. Cioran (b. 1911)