Jacob's ladders, Gram's sequence and some nonlinear integral equations connected with the functions $J_ν(x)$ and $|\zf|^4$

Details Jacob's ladders, Gram's sequence and some nonlinear integral equations connected with the functions $J_ν(x)$ and $|\zf|^4$ Jacob's ladders, Gram's sequence and some nonlinear integral equations connected with the functions $J_ν(x)$ and $|\zf|^4$

2010-11-29

arxiv.org/abs/1011.6198v1

Mathematics

Classical Analysis and ODEs

Scientific paper

It is shown in this paper that the Jacob's ladder is the asymptotic solution
to the new nonlinear integral equations which correspond to the functions
$J_\nu(x)$ and $|\zf|^4$.

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