An overview of some recent developments on integer-valued polynomials: Answers and Questions

Jean-Luc Chabert[1]

  • [1] Départment de Mathématiques Université de Picardie 80039 Amiens, France LAMFA CNRS-UMR 6140

Actes des rencontres du CIRM (2010)

  • Volume: 2, Issue: 2, page 3-14
  • ISSN: 2105-0597

Abstract

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The purpose of my talk is to give an overview of some more or less recent developments on integer-valued polynomials and, doing so, to emphasize that integer-valued polynomials really occur in different areas: combinatorics, arithmetic, number theory, commutative and non-commutative algebra, topology, ultrametric analysis, and dynamics. I will show that several answers were given to open problems, and I will raise also some new questions.

How to cite

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Chabert, Jean-Luc. "An overview of some recent developments on integer-valued polynomials: Answers and Questions." Actes des rencontres du CIRM 2.2 (2010): 3-14. <http://eudml.org/doc/196271>.

@article{Chabert2010,
abstract = {The purpose of my talk is to give an overview of some more or less recent developments on integer-valued polynomials and, doing so, to emphasize that integer-valued polynomials really occur in different areas: combinatorics, arithmetic, number theory, commutative and non-commutative algebra, topology, ultrametric analysis, and dynamics. I will show that several answers were given to open problems, and I will raise also some new questions.},
affiliation = {Départment de Mathématiques Université de Picardie 80039 Amiens, France LAMFA CNRS-UMR 6140},
author = {Chabert, Jean-Luc},
journal = {Actes des rencontres du CIRM},
keywords = {Integer-valued polynomials; Pólya fields; Prüfer domains; $p$-orderings; Quaternions; Bernoulli numbers; ultrametric analysis; discrete dynamical systems},
language = {eng},
number = {2},
pages = {3-14},
publisher = {CIRM},
title = {An overview of some recent developments on integer-valued polynomials: Answers and Questions},
url = {http://eudml.org/doc/196271},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Chabert, Jean-Luc
TI - An overview of some recent developments on integer-valued polynomials: Answers and Questions
JO - Actes des rencontres du CIRM
PY - 2010
PB - CIRM
VL - 2
IS - 2
SP - 3
EP - 14
AB - The purpose of my talk is to give an overview of some more or less recent developments on integer-valued polynomials and, doing so, to emphasize that integer-valued polynomials really occur in different areas: combinatorics, arithmetic, number theory, commutative and non-commutative algebra, topology, ultrametric analysis, and dynamics. I will show that several answers were given to open problems, and I will raise also some new questions.
LA - eng
KW - Integer-valued polynomials; Pólya fields; Prüfer domains; $p$-orderings; Quaternions; Bernoulli numbers; ultrametric analysis; discrete dynamical systems
UR - http://eudml.org/doc/196271
ER -

References

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