Results 41 to 50 of about 59,442 (147)

Around multivariate Schmidt-Spitzer theorem

, 2013
Given an arbitrary complex-valued infinite matrix A and a positive integer n we introduce a naturally associated polynomial basis B_A of C[x0...xn]. We discuss some properties of the locus of common zeros of all polynomials in B_A having a given degree m;
Alexandersson, Per, Shapiro, Boris
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Integer-Valued Polynomials on a Subset

Journal of Number Theory, 1997
If \(R\) is a domain with quotient field \(K\) and \(E\) is a subset of \(R\), then let \(\text{Int} (E)\) be the set of all polynomials \(f\in K[X]\) satisfying \(f(E)\subset R\). Moreover denote by \(cl_R(E)\), the closure of \(E\), the largest subset \(F\) of \(R\) for which \(\text{Int}(F)= \text{Int}(E)\).
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Irreducibility of integer-valued polynomials I [PDF]

Communications in Algebra, 2020
Accepted for publication in Communications in ...
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Lam\'e polynomials, hyperelliptic reductions and Lam\'e band structure

, 2004
The band structure of the Lam\'e equation, viewed as a one-dimensional Schr\"odinger equation with a periodic potential, is studied. At integer values of the degree parameter l, the dispersion relation is reduced to the l=1 dispersion relation, and a ...
Arscott F.M, Belokolos E.D, Belokolos E.D, Burnside W, Guerritore G, Its A.R, Kostov N.A, Krichever I.M, Krichever I.M, Königsberger L, Sacchetti A, Treibich A   +11 more
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Extension Fields and Integer-Valued Polynomials

Journal of Number Theory, 1998
Let \(A\) be a Dedekind domain with finite residue fields and quotient field \(K\), and let \(\text{Int}(A)=\{f\in K[X]\mid f(A)\subset A\}\) be the ring of integer valued polynomials for \(A\). If \(L\) is a finite separable extension of \(K\) and \(B\) is the integral closure of \(A\) in \(L\), one may form \(\text{Int}(B)\) and ask how it is related
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A Degree-Decreasing Lemma for (M O D q- M O D p) Circuits

Discrete Mathematics & Theoretical Computer Science, 2001
Consider a (MOD q, MOD p) circuit, where the inputs of the bottom MOD p gates are degree- d polynomials with integer coefficients of the input variables (p, q are different primes).
Vince Grolmusz
doaj  

Simultaneous $p$-orderings and minimising volumes in number fields

, 2016
In the paper "On the interpolation of integer-valued polynomials" (Journal of Number Theory 133 (2013), pp. 4224--4232.) V. Volkov and F. Petrov consider the problem of existence of the so-called $n$-universal sets (related to simultaneous $p$-orderings ...
Byszewski, Jakub, Frączyk, Mikołaj, Szumowicz, Anna   +2 more
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On generalized Melvin solutions for Lie algebras of rank 3

, 2018
Generalized Melvin solutions for rank-$3$ Lie algebras $A_3$, $B_3$ and $C_3$ are considered. Any solution contains metric, three Abelian 2-forms and three scalar fields. It is governed by three moduli functions $H_1(z),H_2(z),H_3(z)$ ($z = \rho^2$ and $\
Bolokhov, S. V., Ivashchuk, V. D.
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Decomposition of integer-valued polynomial algebras [PDF]

Journal of Pure and Applied Algebra, 2018
to appear in J. Pure Appl. Algebra (2017).
Peruginelli, Giulio, Werner, Nicholas J.
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Determining Integer-Valued Polynomials From Their Image

Actes des rencontres du CIRM, 2011
Summary: This note summarizes a presentation made at the Third International Meeting on Integer Valued Polynomials and Problems in Commutative Algebra. All the work behind it is joint with \textit{S. T. Chapman}, and appeared in [J. Algebra 348, No. 1, 350--353 (2011; Zbl 1239.11029)].
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