the "encoding" of the distribution of primes by the zeros of the Riemann zeta function" Riemann showed that the [nontrivial] zeros of [the zeta function] determine the fluctuations in the density of primes (that is their importance) and conjectured that they all have real part 1/2." M.V. Berry, from "Quantum Chaology", The Bakerian Lecture 1987, Proceedings of the Royal Society of London A 413 (1987) 183–198 "...the complex zeros of the Riemann zeta-function induce the local variations in the distribution of the primes." There are two approaches: the more common approach the more elegant approach |