| Publication | Date of Publication | Type |
|---|
| Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918), the classical Dirichet's sum of divisors (1849) and their relationship with the Fermat-Wiles theorem | 2023-12-19 | Paper |
| Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relations to the Selberg's formula (1946) and the Fermat-Wiles theorem | 2023-06-13 | Paper |
| Jacob's ladders, existence of almost linear increments of the Hardy-Littlewood integral and new types of multiplicative laws | 2023-04-18 | Paper |
| Jacob's ladders and vector operator producing new generations of $L_2$-orthogonal systems connected with the Riemann's $\zeta(\frac 12+it)$ function | 2023-02-15 | Paper |
| Jacob's ladders, class of crossbreeding conserving certain cell of meta-functional equations and existence of cancerous growth of that cell | 2021-05-17 | Paper |
| Jacob's ladder as generator of new class of iterated $L_2$-orthogonal systems and their dependence on the Riemann's function | 2020-12-17 | Paper |
| Jacob's ladders, crossbreeding and infinite sets of meta-functional equations as new species generated by the mother formula | 2020-02-25 | Paper |
| Jacob's ladders and completely new exact synergetic formula for Jacobi's elliptic functions together with Bessel's functions excited by the function $|\zeta(1/2+it)|^2$ | 2019-07-30 | Paper |
| Jacob's ladders and the set of elementary meta-functional equations giving new kind of interactions of $\zeta(s)$ with itself | 2019-06-12 | Paper |
| Jacob's ladders and exact meta-functional equations on level curves as global quantitative characteristics of synergetic phenomenons excited by the function $|\zeta({1\over2}+it)|^2$ | 2019-06-06 | Paper |
| Jacob's ladders and infinite set of transmutations of asymptotic complete hybrid formula on level curves in Gauss' plane | 2019-05-15 | Paper |
| Jacob's ladders, crossbreeding and new synergetic formulas for the class of more complicated external parts of $\zeta$-factorization formulas | 2018-12-05 | Paper |
| Jacob's ladders and new synergetic formula generating infinite set of $\zeta$-cooperative three-parametric invariants | 2018-10-03 | Paper |
| Jacob's ladders and grafting of the complete hybrid formulas into $\zeta$-synergetic meta-functional equation for Riemann's zeta-function | 2018-09-14 | Paper |
| Jacob's ladders, interactions between \(\zeta\)-oscillating systems, and a \(\zeta\)-analogue of an elementary trigonometric identity | 2018-08-16 | Paper |
| 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 | 2018-06-19 | Paper |
| Jacob's ladders and new families of $\zeta$-kindred real continuous functions | 2018-01-29 | Paper |
| Jacob's ladders, crossbreeding in the set of $\zeta$-factorization formulas and selection of families of $\zeta$-kindred real continuous functions | 2017-10-12 | Paper |
| Jacob's ladders, factorization, and metamorphoses as an appendix to the Riemann functional equation for \(\zeta(s)\) on the critical line | 2017-08-24 | Paper |
| Jacob's ladders, nonlinear interactions between $\zeta$-oscillating systems and corresponding constraints | 2017-02-14 | Paper |
| Jacob's ladders and some unbounded decomposition of the $\zeta$-oscillating systems on products of other $\zeta$-oscillating systems as an $\zeta$-analogue of the prime decomposition | 2017-01-31 | Paper |
| Jacob's ladders, $\mathcal{Z}_{\zeta,Q^2}$-transformation of real elementary functions and telegraphic signals generated by the power functions | 2016-02-16 | Paper |
| Jacob's ladders, new properties of the function $\arg\zf$ and corresponding metamorphoses | 2015-06-26 | Paper |
| On statistical arc length of the Riemann $Z(t)$-curve | 2015-06-08 | Paper |
| Jacob's ladders, Riemann's oscillators, quotient of two oscillating multiforms and set of metamorphoses of this system | 2015-06-01 | Paper |
| Properties of the sequence $\{Z[t_\nu(\tau)\}$, Jacob's ladders and new kind of infinite set of metamorphosis of main multiform] | 2015-02-18 | Paper |
| Jacob's ladders, $\zeta$-factorization and infinite set of metamorphosis of a multiform | 2015-01-30 | Paper |
| Jacob's ladders and invariant set of constraints for the reversely iterated integrals (energies) in the theory of the Riemann zeta-function | 2014-12-09 | Paper |
| Jacob's ladders, the structure of the Hardy-Littlewood integral and some new class of nonlinear integral equations | 2014-09-17 | Paper |
| On Selberg's theorem C in the theory of the Riemann zeta-function | 2014-09-16 | Paper |
| Improvement of the theorem of Hardy-Littlewood on density of zeros of the function $\zeta(1/2+it)$ | 2014-09-10 | Paper |
| Jacob's ladders and properties of complete additivity and complete multiplicativity in the set of reverse iterated integrals (energies) | 2014-09-02 | Paper |
| Jacob's ladders and multiplicative algebra of reversely iterated integrals (energies) on the critical line | 2014-06-13 | Paper |
| Jacob's ladders and laws that control chaotic behavior of the measures of reversely iterated segments | 2014-04-22 | Paper |
| Riemann hypothesis and the arc length of the Riemann $Z(t)$-curve | 2014-04-07 | Paper |
| Jacob's ladders, reverse iterations and new infinite set of $L_2$-orthogonal systems generated by the Riemann $\zf$-function | 2014-02-10 | Paper |
| Microscopic interpolation formula for the Riemann $Z(t)$-function and new algorithm for asymptotic solution of some Diophantine equation with Leibnitz coefficients | 2014-01-29 | Paper |
| Jacob's ladders, heterogeneous quadrature formulae, big asymmetry and related formulae for the Riemann zeta-function | 2014-01-13 | Paper |
| New consequences of the Riemann-Siegel formula and a law of asymptotic equality of signum-areas of $Z(t)$ function | 2013-12-17 | Paper |
| Jacob's ladders and $|\zeta|^{-2}$-representation of some functionals generated by a new class of transcendental integrals | 2013-09-26 | Paper |
| Jacob's ladders and some generalizations of certain Ramachandra's inequality | 2013-08-01 | Paper |
| Distribution of the roots of the equations $Z(t)=0$, $Z'(t)=0$ in the theory of the Riemann zeta-function | 2013-07-03 | Paper |
| On the roots of the equation $Z'(t)=0$ | 2013-03-05 | Paper |
| Jacob's ladders, conjugate integrals, external mean-values and other properties of a multiply $\pi(T)$-autocorrelation of the function $|\zf|^2$ | 2013-02-15 | Paper |
| Jacob's ladders, their iterations and the new class of integrals connected with parts of the Hardy-Littlewood integral of the function $|\zeta(1/2+it)|^2$ | 2012-09-21 | Paper |
| Jacob's ladders and new class of integrals containing product of factors $\zeta^2$ | 2012-03-01 | Paper |
| Jacob's ladders and certain asymptotic multiplicative formula for the function $|\zf|^2$ | 2012-01-16 | Paper |
| On the order of the Titchmarsh's sum in the theory of the Riemann zeta-function and on the biquadratic effect in the information theory | 2011-12-27 | Paper |
| Jacob's ladders and the almost exact asymptotic representation of the Hardy-Littlewood integral | 2011-11-25 | Paper |
| The validity of the analog of the Riemann hypothesis for some parts of $\zeta(s)$ and the new formula for $\pi(x)$ | 2011-09-05 | Paper |
| A minimal integral of the Riemann $\Xi$-function | 2011-08-04 | Paper |
| Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself | 2011-07-26 | Paper |
| Riemann hypothesis and some new integrals connected with the integral negativity of the remainder in the formula for the prime-counting function $\pi(x)$ | 2011-05-25 | Paper |
| Jacob's ladders and some nonlinear integral equations connected with the Poisson-Lobachevsky integral | 2011-01-14 | Paper |
| Jacob's ladders, Gram's sequence and some nonlinear integral equations connected with the functions $J_\nu(x)$ and $|\zf|^4$ | 2010-11-29 | Paper |
| Jacob's ladders, Bessel's functions and the asymptotic solutions of a new class of nonlinear integral equations | 2010-11-15 | Paper |
| Riemann hypothesis and some new asymptotically multiplicative integrals which contain the remainder of the prime-counting function $\pi(x)$ | 2010-11-02 | Paper |
| Jacob's ladders and new orthogonal systems generated by Jacobi polynomials | 2010-10-18 | Paper |
| Jacob's ladders and some new consequences from A. Selberg's formula | 2010-10-05 | Paper |
| Jacob's ladders and the nonlocal interaction of the function $Z^2(t)$ with the function $\tilde{Z}^2(t)$ on the distance $\sim (1-c)\pi(t)$ for the collections of disconnected sets | 2010-07-29 | Paper |
| Jacob's ladders and the $\tilde{Z}^2$-transformation of the orthogonal system of trigonometric functions | 2010-07-01 | Paper |
| Jacob's ladders and the nonlocal interaction of the function $Z(t)$ with the function $\tilde{Z}^2(t)$ on the distance $\sim (1-c)\pi(t)$ for a collection of disconnected sets | 2010-06-26 | Paper |
| Jacob's ladders and the oscillations of the function $|\zeta(1/2+it)|^2$ around its mean-value; law of the almost exact equality of corresponding areas | 2010-06-22 | Paper |
| Jacob's ladders and the $\tilde{Z}^2$-transformation of a polynomials in $\ln \vp_1(t)$ | 2010-05-12 | Paper |
| Jacob's ladders and the nonlocal interaction of the function $|\zeta(1/2+it)|$ with the function $\arg\zeta(1/2+it)$ on the distance $\sim(1-c)\pi(t)$ | 2010-04-01 | Paper |
| Jacob's ladders and the asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral of the function $|\zeta(1/2+it)|^4$ | 2010-01-22 | Paper |
| Jacob's ladders and the asymptotically approximate solutions of a nonlinear diophantine equation | 2010-01-18 | Paper |
| Jacob's ladders and the asymptotic formula for the integral of the eight order expression $|\zeta(1/2+i\vp_2(t))|^4|\zeta(1/2+it)|^4$ | 2010-01-13 | Paper |
| Jacob's ladders, the iterations of Jacob's ladder $\phi^k_1(t)$ and asymptotic formulae for the integrals of the products ... for arbitrary fixed $n\in\mbb{N}$ | 2010-01-11 | Paper |
| Jacob's ladders and the first asymptotic formula for the expression of the fifth order $Z^3[...\hat{Z}^2(t)$ for the collection of disconnected sets] | 2009-12-01 | Paper |
| Jacob's ladders and the first asymptotic formula for the expression of the sixth order $|\zeta(1/2+i\varphi(t)/2)|^4|\zeta(1/2+it)|^2$ | 2009-11-06 | Paper |
| Jacob's ladders and the quantization of the Hardy-Littlewood integral | 2009-09-22 | Paper |
| Jacob's ladders and the multiplicative asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral | 2009-07-02 | Paper |
| Jacob's ladders and the tangent law for short parts of the Hardy-Littlewood integral | 2009-06-03 | Paper |
| On some properties of Riemann zeta function on critical line | 2007-10-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5291666 | 2006-05-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5291667 | 2006-05-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4953528 | 2000-05-09 | Paper |
| Условия ортогональности на конечных отрезках для функций π(x), R(x) входящих в закон простых чисел. | 1999-03-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4230585 | 1999-02-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4397629 | 1998-07-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4389678 | 1998-05-18 | Paper |
| Гипотеза Римана для некоторых частей функции ζ(s) и новая формула для π(x) | 1997-07-30 | Paper |
| On gigantic density of zeros of some signals defined by prime numbers | 1996-11-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4298789 | 1995-03-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4324004 | 1995-02-26 | Paper |
| On the distribution of multiplicities of zeros of Riemann zeta function | 1995-02-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4021395 | 1993-01-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3353108 | 1991-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3353109 | 1991-01-01 | Paper |
| Гипотеза Римана и поведение функции Z(t) в коротких промежутках | 1991-01-01 | Paper |
| Гипотеза Римана и экстремальные значения функции Z(t) | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5750954 | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5751677 | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3211406 | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3211407 | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5750953 | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3820694 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3820695 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3820696 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3820697 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3831090 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3831091 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3831092 | 1987-01-01 | Paper |
| Lindel\" of hypothesis and the order of the mean-value of $|\zeta(s)|^{2k-1}$ in the critical strip | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3767407 | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3767408 | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3767409 | 1986-01-01 | Paper |
| Some consequences of the Riemann-Siegel formula | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4722148 | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4722149 | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4722150 | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4722151 | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3218199 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3218200 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3218201 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3218202 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3222936 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3703955 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3703956 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3317185 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3317186 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3317187 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3317188 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3317189 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3317190 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3317191 | 1983-01-01 | Paper |
| Ω-теорема для короткой тригонометрической суммы | 1983-01-01 | Paper |
| Улучшение теоремы Харди-Литтлвуда о плотности нулей функции ζ(½ + it) | 1983-01-01 | Paper |
| Новые следствия из формулы Римана-Зигеля | 1982-01-01 | Paper |
| Новые оценки коротких тригонометрических сумм | 1982-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4739985 | 1982-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3950643 | 1981-01-01 | Paper |
| Исправление к работам: Acta Arith. 31 (1976), стр. 31-43; 31(1976), стр. 45-51; 35 (1979), стр. 403-404 | 1981-01-01 | Paper |
| О корнях уравнения Z'(t)=0 | 1981-01-01 | Paper |
| Доказательство гипотезы Е.К.Титчмарша в теории дзета-функции Римана | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4739983 | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4739984 | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4744344 | 1980-01-01 | Paper |
| Добавление к работе: "Об одной теореме Харди-Литтлвуда в теории дзета-функции Римана" | 1979-01-01 | Paper |
| О поведении функций Re{ζ(s)}, Im {ζ(s)} в критической полосе | 1977-01-01 | Paper |
| О функции S(t) в теории дзета-функции Римана | 1976-01-01 | Paper |
| Об одной сумме в теории дзета-функции Римана | 1976-01-01 | Paper |
| О законе Грама в теории дзета-функции Римана | 1976-01-01 | Paper |
| О некоторых арифметических средних в теории дзета-функции Римана | 1976-01-01 | Paper |
| Об одной теореме Харди-Литтлвуда в теории дзета-функции Римана | 1975-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4081347 | 1975-01-01 | Paper |
| О точках перегиба функции Z(t) | 1975-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4043136 | 1974-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4043137 | 1974-01-01 | Paper |
| Об одном новом следствии из гипотезы Римана | 1974-01-01 | Paper |
| Некоторые свойства дзета-функции Римана на критической прямой | 1974-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5661595 | 1972-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5587744 | 1969-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5587745 | 1969-01-01 | Paper |
| Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relation to the Titchmarsh's sums (1943) and the Fermat-Wiles theorem | 0001-01-03 | Paper |
| Jacob's ladders, Hardy-Littlewood integral (1918) and new asymptotic functional equations for Euler's Gamma function together with the tenth equivalent of the Fermat-Wiles theorem | 0001-01-03 | Paper |
