Results 51 to 60 of about 849 (200)
JOINT UNIVERSALITY OF HURWITZ ZETA-FUNCTIONS [PDF]
AbstractIt is well known that Hurwitz zeta-functions with algebraically independent parameters over the field of rational numbers are universal in the sense that their shifts approximate simultaneously any collection of analytic functions. In this paper we introduce some classes of universal composite functions of a collection of Hurwitz zeta-functions.
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The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
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Pseudo, or Not? Neo‐Goodwinian Growth Cycles With Financial Linkages
ABSTRACT A profit‐led Goodwin mechanism generates the observed counterclockwise activity–labor share cycle. Introducing a financial linkage can reproduce this pattern even when demand is not profit‐led. This paper extends neo‐Goodwinian theory by incorporating the valuation ratio into a four‐dimensional model.
Rudiger von Arnim, Luis Felipe Eick
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Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values
We perform a further investigation for the multiple zeta values and their variations and generalizations in this paper. By making use of the method of the generating functions and some connections between the higher-order trigonometric functions and the ...
Yuan He, Zhuoyu Chen
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On the canonical bundle formula in positive characteristic
Abstract Let f:X→Z$f:X\to Z$ be a fibration from a normal projective variety X$X$ of dimension n$n$ onto a normal curve Z$Z$ over a perfect field of characteristic p>2$p>2$. Let (X,B)$(X,B)$ be a dlt pair such that the induced pair on a general fibre is log canonical.
Marta Benozzo
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Universality Theorems for Some Composite Functions
In [5], it was proved that a collection consisting from Dirichlet L-functions and periodic Hurwitz zeta-functions is universal in the sense that the shifts of those functions approximate simultaneously a given collection of analytic functions.
Kęstutis Janulis +3 more
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Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
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Adaptive mixing formation control of multiquadrotor unmanned aerial vehicle systems
Abstract This paper presents a distributed adaptive mixing control (AMC) design for formation maintenance of systems of multiquadrotor UAVs (q‐UAVs) during commanded path‐tracking maneuvers. The proposed formation control scheme has a two‐level structure. The high level defines the desired trajectories for rigid and persistent formation acquisition and
Nasrettin Köksal +2 more
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A covert attack architecture and detection approach in communication networks for homogenous and linear multi‐agent systems (MASs). A residual‐based detection method, exploiting a Kamlan filter observer and extra dynamic, is proposed to detect covert attacks on agents' communication channels.
Mohammad Tahmasbi
wiley +1 more source
Sharp Inequalities for the Hurwitz Zeta Function
Let \[ Q_{n,m}(p,a)=\left ({\zeta(p,a) - \sum_{\nu=0}^{n}(\nu+a)^{-p}}\over{\zeta(p,a) - \sum_{\nu=0}^{m}(\nu+a)^{-p}}\right )^{1\over{p-1}}, \] where \(m,n\in {\mathbb Z}\) with \(m>n \geq 0, p>1, a>0\) and \(\zeta(s,a) (s\in{\mathbb C},a>0)\) denotes the Hurwitz zeta function.
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