17 citations · 54 across the 32 of their papers we have counts for
5 papers · 1 filter
Jacob's ladders, new properties of the function $\arg\zf$ and corresponding metamorphoses
Jan Moser
The notion of the Jacob's ladders, reversely iterated integrals and the -factorization is used in this paper in order to obtain new results in study of the function $\arg\zf$. N…
On statistical arc length of the Riemann -curve
Jan Moser
In this paper we study certain stochastic process that is generated by the Riemann-Siegel formula. Further, we construct corresponding statistical model by a way similar to those u…
Jacob's ladders, Riemann's oscillators, quotient of two oscillating multiforms and set of metamorphoses of this system
Jan Moser
In this paper we introduce complicated oscillating system, namely quotient of two multiforms based on Riemann-Siegel formula. We prove that there is an infinite set of metamorphose…
Properties of the sequence , Jacob's ladders and new kind of infinite set of metamorphosis of main multiform
Jan Moser
In this paper we study properties of some sums of members of the sequence . Our results are expressed in statements proving essential influence of the Lindel\" of hy…
Jacob's ladders, -factorization and infinite set of metamorphosis of a multiform
Jan Moser
In this paper we use Jacob's ladders together with fundamental Hardy-Littlewood formula (1921) to prove the so-called -factorization formula on the critical line. Simultaneously…