10 papers
Jacob's ladders and the equivalent of the Fermat-Wiles theorem generated by the Hardy-Littlewood formula (1921)
Jan Moser
In this paper we prove that the 105 years old Lemma 18 of Hardy and Littlewood from theirs fundamental paper \cite{2} is able to generate, for example, a continuum set of new -…
Jacob's ladders, point of contact of the remainder in the prime-number law with the Fermat-Wiles theorem and multiplicative puzzles on some sets of integrals
Jan Moser
In this paper we prove, on the Riemann hypothesis, the existence of such increments of the Ingham integral (1932) that generate new functionals together with corresponding new $Pζ…
Jacob's ladders, our old formula (1985) and new -equivalent of the Fermat-Wiles theorem on two-parametric set of lemniscates of Bernoulli
Jan Moser
In our paper from 1985 we have constructed two integrals of the Riemann's function over two disconnected sets with asymptotically equal measures such that these two integr…
Jacob's ladders, our asymptotic formulae (1981) connected with the equation as a base for new -equivalents of the Fermat-Wiles theorem and some other results
Jan Moser
In this paper we obtain new functionals and corresponding -equivalents of the Fermat-Wiles theorem. These are generated by our asymptotic formulae (1981) for the function $Z'(t…
Jacob's ladders, our asymptotic formulae (1981) and next -equivalents of the Fermat-Wiles theorem together with decomposition and synthesis of the Riemann's -oscillators
Jan Moser
In this paper we obtain new -equivalents of the Fermat-Wiles theorem. These are generated by our asymptotic formulae (1981) which brought improvement of the Hardy-Litt…
Jacob's ladders, -transformation of the Fourier orthogonal system (2014) and new infinite sets of -equivalents of the Fermat-Wiles theorem
Jan Moser
In this paper we obtain new infinite sets of -equivalents of the Fermat-Wiles theorem based on the elementary Fourier orthogonal system, Riemann's zeta-function and Jacob's lad…