摘要: The derivative of the Riemann zeta function was computed numerically on several large sets of zeros at large heights. Comparisons to known and conjectured asymptotics are presented.关键词: Riemann Zeta Function at Zeros DOI: 10.48550/arXiv.1105.4312 被引量: 16 ...
1, 51-76.A. Fujii, "On the distribution of the values of the derivative of the Riemann zeta function at its zeros (I)," Proc. Steklov Inst. Math., to appear.On the distribution of the values of the derivative of the Riemann zeta function at its zeros (I - Fujii...
Berndt, Levinson, and Montgomery investigated the general case, meanwhile Akatsuka gave sharper estimates for the first derivative of the Riemann zeta function under the truth of the Riemann hypothesis. In this paper, we extend the results of Akatsuka to the second derivative of the Riemann zeta ...
These differences can in part be explained by the reduction in polymer zeta potential upon PEC formation. The formation of the PEC is driven by Coulombic interactions between the positively charged groups on the polymer and the negatively charged groups on insulin [75]. Therefore a degree of char...
zeta function has many closely spaced zeros.This gives a condition on the zeros of the derivative of the zeta function which implies alower bound of the class numbers of imaginary quadratic f i elds.1. IntroductionThe spacing between zeros of the Riemann zeta-function and the location of ...
Let ζ(s) denote the Riemann zeta-function. This thesis is concerned with estimating discrete moments of the form [Special characters omitted.]where [Special characters omitted.]and the sum runs over the non-trivial (complex) zeros ρ = β + γ of ζ(). Here the function () [Special ch...
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verum bark EOs and meropenem and the observations through zeta potential measurements, outer membrane permeability and scanning electron microscopy confirmed that the synergistic/additive interactions of EOs caused bacterial membrane disruption. In an interesting study, Benameur and co-workers [80] ...
Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals We examine I(σ, T) = ∫Tl|ζ′/ζ(σ + it)|2 dt for σ = 1/2 + a/log T and a > 0 either constant or tending to zero with T. Assuming the Riemann Hypothesi....
Assumeis the dual space of the Banach space. The Clarke’s generalized directional derivative of a locally Lipschitz functionatin the directionςis represented by and whereis the Clarke’s generalized gradient ofat. We need the succeeding hypotheses: ...