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Jacob's ladders, Bessel's functions and the asymptotic solutions of a new class of nonlinear integral equations

Published 15 Nov 2010 in math.CA | (1011.3359v1)

Abstract: It is shown in this paper that there is a connection between the Riemann zeta-function $\zf$ and the Bessel's functions. In this direction, a new class of the nonlinear integral equations is introduced.

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