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20072026
most citedJacob's ladders and the multiplicative asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral

17 citations · 54 across the 32 of their papers we have counts for

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Showing 2011Show all

4 papers · 1 filter

math.CA2011

Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself

Jan Moser

It is proved that some set of the values of $|ζ(σ_0+i\vp_1(t))|^2$ on every fixed line generates a corresponding set of the values of on the critical…

math.CA2011

Riemann hypothesis and some new integrals connected with the integral negativity of the remainder in the formula for the prime-counting function

Jan Moser

In this paper a new integral for the remainder of is obtained. It is proved that there is an infinite set of the formulae containing miscellaneous parts of this integral.

math.CA2011

Jacob's ladders, the structure of the Hardy-Littlewood integral and some new class of nonlinear integral equations

Jan Moser

In this paper we obtain new formulae for short and microscopic parts of the Hardy-Littlewood integral, and the first asymptotic formula for the sixth order expression $|ζ(\frac{1}{…

math.CA2011

Jacob's ladders and some nonlinear integral equations connected with the Poisson-Lobachevsky integral

Jan Moser

We obtain some new properties of the signal generated by the Riemann zeta-function in this paper. Namely, we show the connection between the function $\zf$ and a nonlinear integral…