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

Abstract

The nonlinear equation which is connected with the main term of the Hardy-Littlewood formula for ζ2(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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