8 papers · 1 filter
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…
Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new -equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence
Jan Moser
In connection of our proof (1980) of the Titchmarsh's hypothesis (1934), we have obtained two asymptotic formulae (1991). In this paper we obtain three new -equivalents of the…
Jacob's ladders, new equivalent of the Fermat-Wiles theorem generated by certain cross-breed of Ingham and Heath-Brown formula (1979) and some chains of equivalents
Jan Moser
In this paper we obtain a new equivalent of the Fermat-Wiles theorem based on a kind of cross-bred of Ingham and D. R. Heath-Brown formula. Further, we prove the existence of infin…