5 papers · 1 filter
Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders
Jan Moser
In this paper we show that there is an infinite set of points of contact between the set of all Dirichlet's series and Fermat-Wiles theorem. The proof is independent on the Jacob's…
Jacob's ladders, almost exact decomposition of certain increments of the Hardy-Littlewood integral (1918) by means of the Raabe's integral and the thirteenth equivalent of the Fermat-Wiles theorem
Jan Moser
In this paper we use our theory of Jacob's ladders on the Raabe's integral to obtain: (i) The thirteenth equivalent of the Fermat-Wiles theorem, as well as (ii) almost exact decomp…
Jacob's ladders, logarithmic modification of the Hardy-Littlewood integral (1918), Titchmarsh's -theorem (1928) and new point of contact with the Fermat-Wiles theorem
Jan Moser
In this paper we obtain two new points of contact between Jacob's ladders and Fermat-Wiles theorem. They are generated by a logarithmic modification of the Hardy-Littlewood integra…
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
Jan Moser
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 o…
Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relation to the Titchmarsh's sums (1943) and the Fermat-Wiles theorem
Jan Moser
In this paper we give some new consequences that follow from our formula for increments of the Hardy-Littlewood integral. The main of these ones are and $\mathcal{T…