Results 31 to 40 of about 59,541 (246)
Polynomial overrings of ${\rm Int}(\mathbb Z)$
, 2016 We show that every polynomial overring of the ring ${\rm Int}(\mathbb Z)$ of polynomials which are integer-valued over $\mathbb Z$ may be considered as the ring of polynomials which are integer-valued over some subset of $\hat{\mathbb{Z}}$, the profinite
Chabert, Jean-Luc, Peruginelli, Giulio
core +3 more sources
Integer-valued polynomials over matrices and divided differences
, 2013 Let $D$ be an integrally closed domain with quotient field $K$ and $n$ a positive integer. We give a characterization of the polynomials in $K[X]$ which are integer-valued over the set of matrices $M_n(D)$ in terms of their divided differences.
Peruginelli, Giulio
core +3 more sources
Integral closure of rings of integer-valued polynomials on algebras
, 2014 Let $D$ be an integrally closed domain with quotient field $K$. Let $A$ be a torsion-free $D$-algebra that is finitely generated as a $D$-module. For every $a$ in $A$ we consider its minimal polynomial $\mu_a(X)\in D[X]$, i.e.
G. Peruginelli +10 more
core +1 more source
Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power [PDF]
, 2010 We characterize the fixed divisor of a polynomial $f(X)$ in $\mathbb{Z}[X]$ by looking at the contraction of the powers of the maximal ideals of the overring ${\rm Int}(\mathbb{Z})$ containing $f(X)$. Given a prime $p$ and a positive integer $n$, we also
Giulio Peruginelli +14 more
core +2 more sources
Strong asymptotics for Jacobi polynomials with varying nonstandard parameters [PDF]
, 2004 Strong asymptotics on the whole complex plane of a sequence of monic Jacobi polynomials $P_n^{(\alpha_n, \beta_n)}$ is studied, assuming that $$ \lim_{n\to\infty} \frac{\alpha_n}{n}=A, \qquad \lim_{n\to\infty} \frac{\beta _n}{n}=B, $$ with $A$ and $B ...
A. A. Gonchar +32 more
core +4 more sources
Interpolation by Integer-Valued Polynomials
Journal of Algebra, 1999 The author pursues two directions to construct interpolating integer-valued polynomials on Krull domains \(R\), that means, given distinct \(a_1, \dots, a_n\in S\leq R\) and \(b_1, \dots, b_n\in R\) there exists an \(f\in \text{Int}(S,R)= \{f\in K[x] \mid f(S)\subseteq R\}\), \(K\) being the quotient field of \(R\), with \(f(a_i) =b_i\), \(i=1, \dots,n\
openaire +1 more source
Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley +1 more source
Advanced Science, EarlyView.Hyperfine coupling to 29Si$^{29}{\rm Si}$ and 73Ge$^{73}{\rm Ge}$ nuclear spins limits hole spin‐qubit coherence in Ge heterostructures. We demonstrate device‐grade, nuclear‐spin‐free 70Ge$^{70}{\rm Ge}$/28Si70Ge$^{28}{\rm Si}^{70}{\rm Ge}$ quantum wells grown on industrial SiGe buffers with minimal use of enriched precursors.
Patrick Daoust +11 more
wiley +1 more source
On multivariable cumulant polynomial sequences with applications
, 2016 A new family of polynomials, called cumulant polynomial sequence, and its extensions to the multivariate case is introduced relied on a purely symbolic combinatorial method.
Di Nardo, E.
core +1 more source
Advanced Intelligent Discovery, EarlyView.The authors evaluated six machine‐learned interatomic potentials for simulating threshold displacement energies and tritium diffusion in LiAlO2 essential for tritium production. Trained on the same density functional theory data and benchmarked against traditional models for accuracy, stability, displacement energies, and cost, Moment Tensor Potential ...
Ankit Roy +8 more
wiley +1 more source