Results 71 to 80 of about 5,225,855 (149)

Note on the Hurwitz zeta-function [PDF]

open access: yesProceedings of the American Mathematical Society, 1951
Received by the editors June 10, 1950. 1 This work is an offshoot of investigations carried out under the auspices of the Office of Naval Research, Contract N9-ONR90,000. 2 B. Riemann, Ueber die Anzahl der Primzahlen unter einer gegebenen Grbsse, Monatsberichte der Preussischeni Akademie der Wissenschaften (1859, 1860) pp. 671680. 3A.
openaire   +2 more sources

Complex B-splines and Hurwitz zeta functions [PDF]

open access: yesLMS Journal of Computation and Mathematics, 2013
AbstractWe characterize nonempty open subsets of the complex plane where the sum $\zeta (s, \alpha )+ {e}^{\pm i\pi s} \hspace{0.167em} \zeta (s, 1- \alpha )$ of Hurwitz zeta functions has no zeros in $s$ for all $0\leq \alpha \leq 1$. This problem is motivated by the construction of fundamental cardinal splines of complex order $s$.
Brigitte Forster   +3 more
openaire   +2 more sources

Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
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
wiley   +1 more source

Log-tangent integrals and the Riemann zeta function

open access: yesMathematical Modelling and Analysis, 2019
We show that integrals involving the log-tangent function, with respect to any square-integrable function on  , can be evaluated by the harmonic series. Consequently, several formulas and algebraic properties of the Riemann zeta function at odd positive ...
Lahoucine Elaissaoui   +1 more
doaj   +1 more source

On a generalization of Euler's constant [PDF]

open access: yesSurveys in Mathematics and its Applications, 2021
A one parameter generalization of Euler's constant γ from [Numer. Algorithms 46(2) (2007) 141--151] is investigated, and additional expressions for γ are derived.
Stephen Kaczkowski
doaj  

A Probabilistic Interpretation of the Hurwitz Zeta Function

open access: yesAdvances in Mathematics, 1993
Es sei \(\chi_ A\) die charakteristische Funktion einer Menge \(A\subset\mathbb{R}\). \textit{S. W. Golomb} [J. Number Theory 2, 189-192 (1970; Zbl 0198.381)] definierte bei beliebigem \(s>1\) auf \(\mathbb{N}\) das Wahrscheinlichkeitsmaß \[ Q_ s(A)={1\over {\zeta(s)}} \sum_{n=1}^ \infty \chi_ A(n)n^{-s} \qquad (A\subset\mathbb{N}).
openaire   +1 more source

Adaptive mixing formation control of multiquadrotor unmanned aerial vehicle systems

open access: yesAsian Journal of Control, Volume 28, Issue 3, Page 1073-1085, May 2026.
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
wiley   +1 more source

ON ZEROS OF BILATERAL HURWITZ AND PERIODIC ZETA AND ZETA STAR FUNCTIONS

open access: yesRocky Mountain Journal of Mathematics, 2023
In this paper, we show the following; (1) The periodic zeta function ${\rm{Li}}_s (e^{2πia})$ with ...
openaire   +2 more sources

A Covert Cyber‐Attack Framework and Detection on Communication Links in Linear Multi‐Agent Cyber‐Physical Systems

open access: yesEngineering Reports, Volume 8, Issue 5, May 2026.
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

Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation

open access: yesNatural Resource Modeling, Volume 39, Issue 2, May 2026.
ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu   +2 more
wiley   +1 more source

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