Results 71 to 80 of about 75,204 (223)
A new generalization of the Riemann zeta function and its difference equation
Advances in Difference Equations, 2011 We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip.
Qadir Asghar +2 more
doaj
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas +1 more
wiley +1 more source
Riemann zeros from Floquet engineering a trapped-ion qubit
npj Quantum Information, 2021 The non-trivial zeros of the Riemann zeta function are central objects in number theory. In particular, they enable one to reproduce the prime numbers. They have also attracted the attention of physicists working in random matrix theory and quantum chaos
Ran He +8 more
doaj +1 more source
A Bicomplex Riemann Zeta Function
Tokyo Journal of Mathematics, 2004 The author uses a commutative generalization of complex numbers, called bicomplex numbers, to introduce a holomorphic Riemann zeta function of two complex variables, which satisfies the complexified Cauchy-Riemann equations. Moreover, the author establishes a bicomplex Riemann hypothesis which is equivalent to the complex Riemann hypothesis of one ...
openaire +3 more sources
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
wiley +1 more source
Summability methods based on the Riemann Zeta function
International Journal of Mathematics and Mathematical Sciences, 1988 This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable.
Larry K. Chu
doaj +1 more source
Large greatest common divisor sums and extreme values of the Riemann zeta function [PDF]
, 2015 It is shown that the maximum of $|\zeta(1/2+it)|$ on the interval $T^{1/2}\le t \le T$ is at least $\exp\left((1/\sqrt{2}+o(1)) \sqrt{\log T \log\log\log T/\log\log T}\right)$.
A. Bondarenko, K. Seip
semanticscholar +1 more source
Optimal Selling Mechanisms With Endogenous Seller Outside Offers
International Economic Review, EarlyView.ABSTRACT We examine a two‐stage selling mechanism design problem, where the buyer makes her report and the seller endogenously decides his effort (hidden investment) to generate a possibly better outside offer. The optimal mechanism shows that the seller's effort depends on the reported value of the buyer; a higher value lowers the seller's incentive ...
Xiaogang Che +3 more
wiley +1 more source
Metamaterials and Cesàro convergence
AIP Advances, 2020 In this paper, we show that the linear dielectrics and magnetic materials in matter obey a special kind of mathematical property known as Cesàro convergence.
Yuganand Nellambakam +1 more
doaj +1 more source
An investigation of the non-trivial zeros of the Riemann zeta function
, 2020 The zeros of the Riemann zeta function outside the critical strip are the so-called trivial zeros. While many zeros of the Riemann zeta function are located on the critical line $\Re(s)=1/2$, the non-existence of zeros in the remaining part of the ...
Heymann, Yuri
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