Jacob's ladders and some nonlinear integral equations connected with the Poisson-Lobachevsky integral

Mathematics – Classical Analysis and ODEs

Scientific paper

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Scientific paper

We obtain some new properties of the signal generated by the Riemann
zeta-function in this paper. Namely, we show the connection between the
function $\zf$ and a nonlinear integral equation related to the
Poisson-Lobachevsky integral.

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