Jacob's ladders and new equivalents of the Fermat-Wiles theorem connected with some cross-bred of the formulae of Hardy-Littlewood-Ingham (1926) and of Ingham (1926)
Abstract
The main result of this paper is new formula connecting certain zeta-integral on the critical line with a ζ-integral in the critical strip. Further, a kind of cross-breeding of the Hardy-Littlewood-Ingham formula and Ingham formula produces new ζ-equivalent of the Fermat-Wiles theorem.
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