Jacob's ladders, heterogeneous quadrature formulae, big asymmetry and related formulae for the Riemann zeta-function
Moser, Jan
Original · EN
In this paper we obtain as our main result new class of formulae expressing correlation integrals of the third-order in Z on disconnected sets G₁(x),G₂(y) by means of an autocorrelative sum of the second order in Z. Moreover, the distance of the sets G₁(x),G₂(y) from the set of arguments of autocorrelative sum is extremely big, namely Aπ(T),T→∞, where π(T) is the prime-counting function.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.