Results 61 to 70 of about 6,598 (188)

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Some approximations with Hurwitz zeta function

Filomat, 2020
In this paper, we focus on some approximations with Hurwitz zeta function. By using these approximations, we present some asymptotic formulae related to Hurwitz zeta function. As an application, we give two corollaries related to Bernoulli polynomials.
openaire   +3 more sources

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II

Mathematical Modelling and Analysis, 2017
In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; a), k ∈ N, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; a) with multiplicative periodic sequence a, is obtained.
Renata Macaitienė, Mindaugas Stoncelis, Darius Šiaučiūnas   +2 more
doaj   +1 more source

Homogeneous Observer‐Based Affine Formation Tracking

International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2692-2704, 25 March 2026.
ABSTRACT This article addresses the control of mobile agents, termed followers, to track a time‐varying affine formation specified by a set of leaders. We present a distributed hierarchical method composed of a homogeneous high‐order sliding mode observer and a tracking controller. The observer estimates the followers' target trajectories from neighbor
Rodrigo Aldana‐López, Miguel Aranda, Rosario Aragüés, Carlos Sagüés   +3 more
wiley   +1 more source

Partial Sums of the Hurwitz and Allied Functions and Their Special Values

Mathematics
We supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants.
Nianliang Wang, Ruiyang Li, Takako Kuzumaki   +2 more
doaj   +1 more source

A Weighted Universality Theorem for Periodic Zeta-Functions

Mathematical Modelling and Analysis, 2017
The periodic zeta-function ζ(s; a), s = σ + it is defined for σ > 1 by the Dirichlet series with periodic coefficients and is meromorphically continued to the whole complex plane.
Renata Macaitienė, Mindaugas Stoncelis, Darius Šiaučiūnas   +2 more
doaj   +1 more source

Existence, Stability, and Data‐Driven Analysis of a Fractional‐Order Avian Influenza Model in Poultry Farms

Engineering Reports, Volume 8, Issue 3, March 2026.
We develop and analyze a fractional‐order avian influenza chicken model for chicken farms, providing existence, uniqueness, and stability results. With real Bangladesh farm data and 80% vaccine efficacy, numerical results show that combining vaccination and treatment can control disease spread by reducing the basic reproduction number below one ...
Muhammad Altaf Khan, Mahmoud H. DarAssi, Irfan Ahmad, Ebraheem Alzahrani, Nurulfiza Mat Isa   +4 more
wiley   +1 more source

Sharp Inequalities for the Hurwitz Zeta Function

Rocky Mountain Journal of Mathematics, 2005
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.
openaire   +2 more sources

Complex B-splines and Hurwitz zeta functions [PDF]

LMS 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 $s$.
B. Forster, R. Garunkštis, P. Massopust, J. Steuding   +3 more
openaire   +1 more source