Results 21 to 30 of about 59,442 (147)
Discrete Analysis, 2020 An algebraic inverse theorem for the quadratic Littlewood-Offord problem, and an application to Ramsey graphs, Discrete Analysis 2020:12, 34 pp. The Littlewood-Offord problem is the following general question.
Matthew Kwan, Lisa Sauermann
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A Survey on Fixed Divisors [PDF]
, 2019 In this article, we compile the work done by various mathematicians on the topic of the fixed divisor of a polynomial. This article explains most of the results concisely and is intended to be an exhaustive survey.
Prasad, Devendra +2 more
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On generalized Melvin solution for the Lie algebra $$E_6$$ E6
European Physical Journal C: Particles and Fields, 2017 A multidimensional generalization of Melvin’s solution for an arbitrary simple Lie algebra $${\mathcal {G}}$$ G is considered. The gravitational model in D dimensions, $$D \ge 4$$ D≥4 , contains n 2-forms and $$l \ge n$$ l≥n scalar fields, where n is the
S. V. Bolokhov, V. D. Ivashchuk
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A construction of integer-valued polynomials with prescribed sets of lengths of factorizations [PDF]
, 2013 For an arbitrary finite set S of natural numbers greater 1, we construct an integer-valued polynomial f, whose set of lengths in Int(Z) is S. The set of lengths of f is the set of all natural numbers n, such that f has a factorization as a product of n ...
Ch Frei +4 more
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Pr\"ufer intersection of valuation domains of a field of rational functions [PDF]
, 2018 Let $V$ be a rank one valuation domain with quotient field $K$. We characterize the subsets $S$ of $V$ for which the ring of integer-valued polynomials ${\rm Int}(S,V)=\{f\in K[X] \mid f(S)\subseteq V\}$ is a Pr\"ufer domain.
Peruginelli, Giulio
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Advances in Mathematical Physics, 2018 We consider generalized Melvin-like solutions associated with nonexceptional Lie algebras of rank 4 (namely, A4, B4, C4, and D4) corresponding to certain internal symmetries of the solutions.
S. V. Bolokhov, V. D. Ivashchuk
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An advection-robust Hybrid High-Order method for the Oseen problem [PDF]
, 2018 In this work, we study advection-robust Hybrid High-Order discretizations of the Oseen equations. For a given integer $k\ge 0$, the discrete velocity unknowns are vector-valued polynomials of total degree $\le k$ on mesh elements and faces, while the ...
Aghili, Joubine, Di Pietro, Daniele A.
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Integer-Valued Polynomials on a Subset [PDF]
Proceedings of the American Mathematical Society, 1993 Let \(D\) be an integral domain, which is not a field, \(K\) its quotient field, \(D'\) the integral closure of \(D\) and \(\emptyset\subsetneqq E\subseteqq K\). Let \(\text{Int}(E,D)=\bigl\{f\in K[X];f(E)\subseteqq D\bigr\}\) be the ring of integer-valued polynomials.
openaire +1 more source
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
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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
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