Results 51 to 60 of about 59,442 (147)
Mori domains of integer-valued polynomials
Journal of Pure and Applied Algebra, 2000 The authors deal with the problem under which conditions the ring \[ \text{Int} (D)=\{f\in K[X]; f(D)\subseteq D\} \] of integer-valued polynomials over a domain \(D\) with quotient field \(K\) is a Mori domain. If \(D\) is e.g. a Krull domain or a one-dimensional Noetherian domain this question is answered completely because in this case holds ...
CAHEN P. J +2 more
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Integer-valued polynomials on Krull rings [PDF]
Proceedings of the American Mathematical Society, 1996 If R R is a subring of a Krull ring S S such that R Q R_{Q} is a valuation ring for every finite index Q = P ∩ R Q=P\cap R , P P in Spec 1
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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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Combinatorial Nullstellensatz modulo prime powers and the Parity Argument [PDF]
, 2014 We present new generalizations of Olson's theorem and of a consequence of Alon's Combinatorial Nullstellensatz. These enable us to extend some of their combinatorial applications with conditions modulo primes to conditions modulo prime powers. We analyze
Varga, László
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Integer-valued polynomials on algebras: a survey
Actes des rencontres du CIRM, 2011 Summary: We compare several different concepts of integer-valued polynomials on algebras and collect the few results and many open questions to be found in the literature.
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Another Prüfer Ring of Integer-Valued Polynomials
Journal of Algebra, 1997 Let \(D\) be an integral domain with quotient field \(K\) and let \(\text{ Int}(D) = \{f \in K [x] \mid f(D) \subseteq D\}\). If \(D\) is Dedekind and all its residue fields are finite then \(\text{ Int}(D)\) is Prüfer while if \(\text{ Int}(D)\) is Prüfer then \(D\) is almost Dedekind (i.e.
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Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. [PDF]
Mon Hefte Math, 2023 Fadinger-Held V, Frisch S, Windisch D.
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Vector valued logarithmic residues and the extraction of elementary factors [PDF]
An analysis is presented of the circumstances under which, by the extraction of elementary factors, an analytic Banach algebra valued function can be transformed into one taking invertible values only. Elementary factors are generalizations of the simple
Bart, H., Ehrhardt, T., Silbermann, B.
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Values at integers of homogeneous polynomials
Duke Mathematical Journal, 1999 Berry and Tabor (1977) conjectured that the local spacings between the eigenvalues of the quantization of the Hamiltonian for generic, completely integrable systems follow the distribution of random numbers. \textit{P. Sarnak} [CMS Conf. Proc. 21, 181-203 (1997; Zbl 0911.11032)] considered the specific case of geodesic flow on a flat two-dimensional ...
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Integer valued polynomials over function fields
Indagationes Mathematicae (Proceedings), 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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