Jacob's ladders and the asymptotically approximate solutions of a nonlinear diophantine equation

Details Jacob's ladders and the asymptotically approximate solutions of a nonlinear diophantine equation Jacob's ladders and the asymptotically approximate solutions of a nonlinear diophantine equation

2010-01-18

arxiv.org/abs/1001.3019v1

Mathematics

Classical Analysis and ODEs

Scientific paper

The nonlinear equation which is connected with the main term of the
Hardy-Littlewood formula for $\zeta^2(1/2+it)$ is studied. In this direction I
obtain the fine results which cannot be reached by published methods of
Balasubramanian, Heath-Brown and Ivic in the field of the Hardy-Littlewood
integral.

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