Determining Integer-Valued Polynomials From Their Image

@article{Ponomarenko2010,
abstract = {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 [2]. Let $\mathrm\{Int\}(\mathbb\{Z\})$ 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 $\mathbb\{Z\}$.},
affiliation = {San Diego State University Department of Mathematics and Statistics San Diego, CA 92182-7720},
author = {Ponomarenko, Vadim},
journal = {Actes des rencontres du CIRM},
keywords = {integer-valued polynomial},
language = {eng},
number = {2},
pages = {51-52},
publisher = {CIRM},
title = {Determining Integer-Valued Polynomials From Their Image},
url = {http://eudml.org/doc/196280},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Ponomarenko, Vadim
TI - Determining Integer-Valued Polynomials From Their Image
JO - Actes des rencontres du CIRM
PY - 2010
PB - CIRM
VL - 2
IS - 2
SP - 51
EP - 52
AB - 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 [2]. Let $\mathrm{Int}(\mathbb{Z})$ 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 $\mathbb{Z}$.
LA - eng
KW - integer-valued polynomial
UR - http://eudml.org/doc/196280
ER -