Jacob's ladders, Hardy-Littlewood integral (1918) and new asymptotic functional equations for Euler's Gamma function together with the tenth equivalent of the Fermat-Wiles theorem

Abstract

In this paper new -functional is constructed upon the basis of the set of almost linear increments of the Hardy-Littlewood integral. This functional generates a -equivalent of the Fermat-Wiles theorem and also new set of factorization formulae for Euler's -function.

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