Results 61 to 70 of about 39,153 (198)

Kummer′s Criterion over Global Function Fields

Journal of Number Theory, 1994
Let \(k\) be a global function field (i.e., a finite extension of a rational function field \(\mathbb{F}_ p (T)\) over the finite field with \(p\) elements) and \(\infty\) a fixed place of degree one over the field \(\mathbb{F}_ q\) of constants. Let further \(A\) be the Dedekind ring of elements of \(k\) regular off \(\infty\), and \({\mathfrak p}\) a
openaire   +2 more sources

Kummer's theory for function fields

Journal of Number Theory, 1991
Let \(A={\mathbb{F}}_ r[T]\), \(r=p^ n\) and \(k={\mathbb{F}}_ r(T)\). Let C be the Carlitz module for A; this is a rank one Drinfeld module that plays the role of \({\mathbb{G}}_ m\). Let \(\wp \in Spec(A)\). Then one can associate to the \(\wp\)-divison points of C the finite abelian extension, k(\(\wp)\), of k with Galois group \(A/\wp^*\).
openaire   +2 more sources

Inverse hyperbolic equation, Spectral technique, Regularization method, Operational matrix

Kuwait Journal of Science
Recently, the realm related to Euler's Beta function has played a significant role in the development of special function theory. In this study, a new extension of the special function known as Euler's Beta function with respect to the Mittag-Leffler ...
Firas Ghanim, Hiba Fawzi Al-Janaby, Marwan Al-Momani   +2 more
doaj   +1 more source

Dwork families and $\mathcal{D}$-modules [PDF]

, 2019
A Dwork family is a one-parameter monomial deformation of a Fermat hypersurface. In this paper we compute algebraically the invariant part of its Gauss-Manin cohomology under the action of certain subgroup of automorphisms.
Domínguez, Alberto Castaño
core   +3 more sources

A matheuristic for the traveling salesman problem with positional consistency constraints

International Transactions in Operational Research, EarlyView.
Abstract We propose a matheuristic for the traveling salesman problem with positional consistency constraints, where we seek to generate a set of routes with minimum total cost, in which the nodes visited in more than one route (consistent nodes) must occupy the same relative position in all routes.
Luís Gouveia, Ana Paias, Mafalda Ponte
wiley   +1 more source

Certain Results on Extended Beta and Related Functions Using Matrix Arguments

Journal of New Theory
In this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain, Rakibul Sk, Nabiullah Khan   +2 more
doaj   +1 more source

A unified formulation for home healthcare routing and scheduling problems

International Transactions in Operational Research, EarlyView.
Abstract Home Healthcare is an essential component of healthcare systems, where caregivers visit patients' homes to deliver services. While presenting advantages with respect to institutional care, such as being cost‐effective and alleviating family burdens, it presents challenges in scheduling and routing caregivers efficiently.
Sara Ceschia, Francesca Da Ros, Luca Di Gaspero, Simona Mancini, Vittorio Maniezzo, Roberto Montemanni, Roberto Maria Rosati, Andrea Schaerf   +7 more
wiley   +1 more source

Neurotrophic extracellular matrix proteins promote neuronal and iPSC astrocyte progenitor cell‐ and nano‐scale process extension for neural repair applications

Journal of Anatomy, Volume 246, Issue 4, Page 585-601, April 2025.
The extracellular matrix plays a critical role in modulating cell behaviour in the central nervous system influencing neural cell morphology and growth. However, a better understanding of the impact of individual matrix proteins on both neurons and astrocytes is critical for advancing the development of matrix‐based neural repair strategies.
Cian O'Connor, Rena E. Mullally, Sarah F. McComish, Julia O'Sullivan, Ian Woods, Ingmar Schoen, Massimiliano Garre, Maeve A. Caldwell, Adrian Dervan, Fergal J. O'Brien   +9 more
wiley   +1 more source

Kummer type extensions in function fields

International Journal of Algebra, 2013
We present a generalization of Kummer extensions in algebraic function fields with finite field of constants Fq, using the action of CarlitzHayes. This generalization of Kummer type extensions is due to WenChen Chi and Anly Li and due also to Fred Schultheis. The main results of this article are Proposition 3.2 and Theorem 3.4.
M. Sanchez-Mirafuentes, G. Villa Salvador   +1 more
openaire   +1 more source

Normal forms for Kummer surfaces

, 2019
We determine normal forms for the Kummer surfaces associated with abelian surfaces of polarization of type $(1,1)$, $(1,2)$, $(2,2)$, $(2,4)$, and $(1,4)$.
Clingher, Adrian, Malmendier, Andreas
core   +1 more source