12 citations · 21 across the 11 of their papers we have counts for
11 papers
Approximation of the derivatives of the logarithm of the Riemann zeta-function in the critical strip
Sergey Sekatskii, Stefano Beltraminelli
Recently, we have established the generalized Li criterion equivalent to the Riemann hypothesis, viz. demonstrated that the sums over all non-trivial Riemann function zeroes k_n,a=…
Riemann Hypothesis: Architecture of a conjecture "along" the lines of Pólya. From trivial zeros and Harmonic Oscillator to information about non-trivial zeros of the Riemann zeta-function
Stefano Beltraminelli, Danilo Merlini, Sergey Sekatskii
We propose an architecture of a conjecture concerning the Riemann Hypothesis in the form of an "alternative" to the Pólya strategy: we construct a Hamiltonian H_Polya whose spectru…
A few equalities involving integrals of the logarithm of the Riemann zeta-function and equivalent to the Riemann hypothesis III. Exponential weight functions
Sergey K. Sekatskii, Stefano Beltraminelli, Danilo Merlini
This paper is a continuation of our recent papers with the same title, arXiv:0806.1596v1 [math.NT], arXiv:0904.1277v1 where a number of integral equalities involving integrals of t…
A few equalities involving integrals of the logarithm of the Riemann zeta-function and equivalent to the Riemann hypothesis II
Sergey K. Sekatskii, Stefano Beltraminelli, Danilo Merlini
This paper is a continuation of our recent paper with the same title, arXiv:0806.1596v1 [math.NT], where a number of integral equalities involving integrals of the logarithm of the…
Mean Staircase of the Riemann Zeros: a comment on the Lambert W function and an algebraic aspect
Davide a Marca, Stefano Beltraminelli, Danilo Merlini
In this note we discuss explicitly the structure of two simple set of zeros which are associated with the mean staircase emerging from the zeta function and we specify a solution u…
A few equalities involving integrals of the logarithm of the Riemann Zeta-function and equivalent to the Riemann hypothesis
Sergey K. Sekatskii, Stefano Beltraminelli, Danilo Merlini
Using a generalized Littlewood theorem concerning integrals of the logarithm of analytical functions, we have established a few equalities involving integrals of the logarithm of t…