Results 61 to 70 of about 99,592 (142)
Integer valued polynomials over function fields
Indagationes Mathematicae (Proceedings), 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integer valued polynomials and Lubin–Tate formal groups
Journal of Number Theory, 2009 Let \(R\) be an integral domain with field of fractions \(K\). We define \(\text{Int}(R)\) to be the \(R\)-subalgebra of \(K[X]\) consisting of polynomials \(f(X)\) such that \(f(r)\in R\) for all \(r\in R\). Now let \(R\) be the ring of integers in a finite extension of the \(p\)-adic field \({\mathbb Q}_p\) and let \(F(X,Y)\) be a Lubin-Tate formal ...
de Shalit, Ehud, Iceland, Eran
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Polynominals related to powers of the Dedekind eta function
, 2018 The vanishing properties of Fourier coefficients of integral powers of the Dedekind eta function correspond to the existence of integral roots of integer-valued polynomials Pn(x) introduced by M. Newman.
Heim, B., Neuhauser, M.
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On Polynomial Cointegration in the State Space Framework [PDF]
This paper deals with polynomial cointegration, i.e. with the phenomenon that linear combinations of a vector valued rational unit root process and lags of the process are of lower integration order than the process itself (for definitions see Section 2).
Dietmar Bauer, Martin Wagner
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On Lehmer’s question for integer-valued polynomials
Journal de théorie des nombres de BordeauxWe solve a Lehmer-type question about the Mahler measure of integer-valued polynomials.
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Sets that determine integer-valued polynomials
Journal of Number Theory, 1989 The main result of this paper describes necessary and sufficients conditions for a subset S of \({\mathbb{Z}}\) to determine the set of the integer valued polynomials on \({\mathbb{Z}}\). This is an answer to a problem considered by the author and \textit{W. W. Smith} [J. Algebra 81, 150-164 (1983; Zbl 0515.13016)].
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Sequence domains and integer-valued polynomials
Journal of Pure and Applied Algebra, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2008 Let $f(X)$ be a polynomial with rational coefficients, $S$ be an infinite subset of the rational numbers and consider the image set $f(S)$. If $g(X)$ is a polynomial such that $f(S)=g(S)$ we say that $g$ \emph{parametrizes} the set $f(S)$. Besides the obvious solution $g=f$ we may want to impose some conditions on the polynomial $g$; for example, if $f(
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Integer-valued polynomials satisfying growth constraints
We consider polynomials which take integer values on the integers (IVPs), and satisfy an additional growth condition on the natural numbers. Elkies and Speyer, answering a question by Dimitrov, showed there is a critical exponential growth threshold, such that there are infinitely many IVPs with growth above the threshold and finitely many IVPs below ...
Kiro, Avner, Nishry, Alon
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