Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Beltraminelli, Stefano"'
Approximation of the derivatives of the logarithm of the Riemann zeta-function in the critical strip
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=Sum_(/rho)(1-(1-((/rho-a)/(/rho+a-1))^n) for any real a not equal to 1
Externí odkaz:
http://arxiv.org/abs/1811.05861
We propose an architecture of a conjecture concerning the Riemann Hypothesis in the form of an "alternative" to the P\'olya strategy: we construct a Hamiltonian H_Polya whose spectrum coincides exactly with that of the Harmonic Oscillator Hamiltonian
Externí odkaz:
http://arxiv.org/abs/1306.3711
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 the logarithm of the Riemann zeta-function were introduced and it was s
Externí odkaz:
http://arxiv.org/abs/1006.0323
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 Riemann zeta-function were introduced and it was shown that some of t
Externí odkaz:
http://arxiv.org/abs/0904.1277
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 using the Lambert W function. The argument of it may then be set equal
Externí odkaz:
http://arxiv.org/abs/0901.3377
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 the Riemann Zeta-function and have rigorously proven that they are equi
Externí odkaz:
http://arxiv.org/abs/0806.1596
In this note concerning integrals involving the logarithm of the Riemann Zeta function, we extend some treatments given in previous pioneering works on the subject and introduce a more general set of Lorentz measures. We first obtain two new equivale
Externí odkaz:
http://arxiv.org/abs/0803.1508
New expansions for some functions related to the Zeta function in terms of the Pochhammer's polynomials are given (coefficients b(k), d(k), d_(k) and d__(k). In some formal limit our expansion b(k) obtained via the alternating series gives the regula
Externí odkaz:
http://arxiv.org/abs/0707.2406
We consider the Riesz and Hardy-Littlewood wave i.e. a ``critical function'' whose behaviour is concerned with the possible truth of the Riemann Hypothesis (RH). The function is studied numerically for the case alpha = 15/2 and beta = 4 in some range
Externí odkaz:
http://arxiv.org/abs/math/0609480
We present the results of numerical experiments in connection with the Riesz and Hardy-Littlewood criteria for the truth of the Riemann Hypothesis (RH). The coefficients c_k of the Pochammer's expansion for the reciprocal of the Riemann Zeta function
Externí odkaz:
http://arxiv.org/abs/math/0605565