Displaying similar documents to “An overview of some recent developments on integer-valued polynomials: Answers and Questions”

Integer-valued polynomials on algebras: a survey

Sophie Frisch (2010)

Actes des rencontres du CIRM

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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.

Determining Integer-Valued Polynomials From Their Image

Vadim Ponomarenko (2010)

Actes des rencontres du CIRM

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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 Scott T. Chapman, and will appear in []. Let Int ( ℤ ) represent the ring of polynomials with rational coefficients which are integer-valued at integers. We determine criteria for two such polynomials to have the same image set on ℤ .

Parametrization of integral values of polynomials

Giulio Peruginelli (2010)

Actes des rencontres du CIRM

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We will recall a recent result about the classification of those polynomial in one variable with rational coefficients whose image over the integer is equal to the image of an integer coefficients polynomial in possibly many variables. These set is polynomially generated over the integers by a family of polynomials whose denominator is 2 and they have a symmetry with respect to a particular axis. We will also give a description of the linear factors of the bivariate separated...

Remarks on Henselian rings.

Nowak, Krzysztof Jan (2008)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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