Results 51 to 60 of about 99,592 (142)
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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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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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.
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A Non-Sieving Application of the Euler Zeta Function
, 2016 One familiar with the Euler zeta function, which established the remarkable relationship between the prime and composite numbers, might naturally ponder the results of the application of this special function in cases where there is no known way to sieve
May, Michael P.
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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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Efficiently Computing Real Roots of Sparse Polynomials
, 2017 We propose an efficient algorithm to compute the real roots of a sparse polynomial $f\in\mathbb{R}[x]$ having $k$ non-zero real-valued coefficients. It is assumed that arbitrarily good approximations of the non-zero coefficients are given by means of a ...
Becker Ruben +2 more
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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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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 +11 more
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p-Adic Heisenberg Cantor sets [PDF]
, 2011 These informal notes deal with p-adic versions of Heisenberg groups and related matters.Comment: 43 ...
Semmes, Stephen
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Generalized rings of integer-valued polynomials
Journal of Number Theory, 2012 Let us first recall the definition of the classical ring of integer-valued polynomials \(\mathrm{Int}(\mathbb{Z})=\{f(X)\in\mathbb{Q}[X];f(\mathbb{Z})\) \(\subseteq \mathbb{Z}\}\). In the literature, many generalizations are done where elements of \(\mathbb{Q}[X]\) act on sets such as rings of algebraic integers or the ring \(M_n(\mathbb{Z})\) of \(n ...
Loper, K. Alan, Werner, Nicholas J.
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