Results 61 to 70 of about 48,716 (213)
AN UPPER BOUND FOR DISCRETE MOMENTS OF THE DERIVATIVE OF THE RIEMANN ZETA‐FUNCTION [PDF]
Mathematika, 2018 Assuming the Riemann hypothesis, we establish an upper bound for the $2k$-th discrete moment of the derivative of the Riemann zeta-function at nontrivial zeros, where $k$ is a positive real number.
S. Kirila
semanticscholar +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
A weighted version of the Mishou theorem
Mathematical Modelling and Analysis, 2021 In 2007, H. Mishou obtained a joint universality theorem for the Riemann and Hurwitz zeta-functions ζ(s) and ζ(s,α) with transcendental parameter α on the approximation of a pair of analytic functions by shifts (ζ(s+iτ),ζ(s+iτ,α)), τ ∈R.
Antanas Laurinčikas +2 more
doaj +1 more source
The Riemann zeta function and Gaussian multiplicative chaos: Statistics on the critical line [PDF]
Annals of Probability, 2016 We prove that if $\omega$ is uniformly distributed on $[0,1]$, then as $T\to\infty$, $t\mapsto \zeta(i\omega T+it+1/2)$ converges to a non-trivial random generalized function, which in turn is identified as a product of a very well behaved random smooth ...
E. Saksman, Christian Webb
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Zeta functions for the Riemann zeros [PDF]
Annales de l'Institut Fourier, 2003 A family of Zeta functions built as Dirichlet series over the Riemann zeros are shown to have meromorphic extensions in the whole complex plane, for which numerous analytical features (the polar structures, plus countably many special values) are explicitly displayed.
openaire +1 more source
Sliding Mode Control in Aerospace Applications: A Survey
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
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Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function
Mathematics, 2021 Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim +3 more
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On the extreme values of the Riemann zeta function on random intervals of the critical line [PDF]
, 2016 In the present paper, we show that under the Riemann hypothesis, and for fixed $$h, \epsilon > 0$$h,ϵ>0, the supremum of the real and the imaginary parts of $$\log \zeta (1/2 + it)$$logζ(1/2+it) for $$t \in [UT -h, UT + h]$$t∈[UT-h,UT+h] are in the ...
J. Najnudel
semanticscholar +1 more source
Contingent capital: A tale of two valuations
Journal of Risk and Insurance, EarlyView.Abstract This study investigates the valuation gap between buyers and sellers of insurers' contingent capital, driven by asymmetric exposures to tax benefits, capital injections, and bankruptcy costs. We develop a novel Twin‐Tree Model with Jumps (TTMJ) that models the insurer's asset value dynamics by incorporating catastrophe risk, insolvency risk ...
Tian‐Shyr Dai +3 more
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Mathematical Modelling and AnalysisIn 2017, Garunkštis, Laurinčikas and Macaitienė proved the discrete universality theorem for the Riemann zeta-function shifted by imaginary parts of nontrivial zeros of the Riemann zeta-function.
Keita Nakai
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