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 zetafunction induce the local
variations in the distribution of the primes."
Hans Riesel from Prime Numbers and Computer Methods for Factorisation (Birkhaüser, 1994)
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