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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 33 of their papers we have counts for

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Showing 2018Show all

5 papers · 1 filter

math.CA2018

Jacob's ladders, crossbreeding and new synergetic formulas for the class of more complicated external parts of -factorization formulas

Jan Moser

In this paper we obtain new canonical synergetic formula, namely an -analogue of next elementary trigonometric formula. This one describes cooperative interactions between corre…

math.CA2018

Jacob's ladders and new synergetic formula generating infinite set of -cooperative three-parametric invariants

Jan Moser

In this paper we obtain new -synergetic formula namely an exact secondary complete hybrid formula. This one is generated by some set of trigonometric and power functions togethe…

math.CA2018

Jacob's ladders and grafting of the complete hybrid formulas into -synergetic meta-functional equation for Riemann's zeta-function

Jan Moser

In this paper we prove that there is a grafting of complete hybrid formula on meta-functional equation. This synergetic formula gives the result of a -chemical reaction between…

math.CA2018

Jacob's ladders, crossbreeding, secondary crossbreeding and synergetic phenomena generated by Riemann's zeta-function and some elementary functions on disconnected sets of the critical line

Jan Moser

In this paper we obtain new complete hybrid formula for corresponding class of -factorization formulas. We demonstrate that this formula is the synergetic one. Namely, this one…

math.CA2018

Jacob's ladders and new families of -kindred real continuous functions

Jan Moser

In this paper we obtain, by our method of crossbreeding in certain set of -factorization formulas, the corresponding complete hybrid formulas. These are playing the role of crit…