17 citations · 54 across the 33 of their papers we have counts for
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Jacob's ladders, Gram's sequence and some nonlinear integral equations connected with the functions and $|\zf|^4$
Jan Moser
It is shown in this paper that the Jacob's ladder is the asymptotic solution to the new nonlinear integral equations which correspond to the functions and $|\zf|^4$.
Jacob's ladders and new orthogonal systems generated by Jacobi polynomials
Jan Moser
Is is shown in this paper that there is a connection between the Riemann zeta-function $\zf$ and the classical Jacobi's polynomials, i.e. the Legendre polynomials, Chebyshev polyno…
Jacob's ladders, Bessel's functions and the asymptotic solutions of a new class of nonlinear integral equations
Jan Moser
It is shown in this paper that there is a connection between the Riemann zeta-function $\zf$ and the Bessel's functions. In this direction, a new class of the nonlinear integral eq…
Riemann hypothesis and some new asymptotically multiplicative integrals which contain the remainder of the prime-counting function
Jan Moser
A new parametric integral is obtained as a consequence of the Riemann hypothesis. An asymptotic multiplicability is the main property of this integral.
Jacob's ladders and some new consequences from A. Selberg's formula
Jan Moser
It is proved in this paper that the Jacob's ladders together with the A. Selberg's classical formula (1942) lead to a new kind of formulae for some short trigonometric sums. These…