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math.NT2025
Jacob's ladders, next equivalents of the Fermat-Wiles theorem and new infinite sets of the equivalents generated by the Dirichlet's series
Jan Moser
In this paper we obtain new sets of equivalents of the Fermat-Wiles theorem. Simultaneously, we obtain also asymptotic connections between the set of Dirichlet's series, certain se…
math.NT2025
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)
Jan Moser
The main result of this paper is new formula connecting certain -integral on the critical line with a -integral in the critical strip. Further, a kind of cross-breeding of…