Example image of eyePlorer eyePlorer map for 'Perron's formula': Analytic number theory Mathematics Mellin transform Oskar Perron Arithmetic function Dirichlet series Absolute convergence Summation by parts Dirichlet character Dirichlet L-function Riemann zeta function Mertens function Von Mangoldt function Heidelberg University Faculty of Mathematics and Computer Science Nörlund–Rice integral Riesz mean Multiplicative function Method of steepest descent Prime-counting function Prime number theorem