Some remarks about the Dedekind-Mertens lemma

Jakub Byszewski

Banach Center Publications (2016)

  • Volume: 108, Issue: 1, page 31-36
  • ISSN: 0137-6934

Abstract

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The Dedekind-Mertens lemma relates the contents of two polynomials and the content of their product. Recently, Epstein and Shapiro extended this lemma to the case of power series. We review the problem with a special emphasis on the case of power series, give an answer to a question posed by Epstein-Shapiro and investigate extensions of some related results. This note is of expository character and discusses the history of the problem, some examples and announces some new results.

How to cite

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Jakub Byszewski. "Some remarks about the Dedekind-Mertens lemma." Banach Center Publications 108.1 (2016): 31-36. <http://eudml.org/doc/286593>.

@article{JakubByszewski2016,
abstract = {The Dedekind-Mertens lemma relates the contents of two polynomials and the content of their product. Recently, Epstein and Shapiro extended this lemma to the case of power series. We review the problem with a special emphasis on the case of power series, give an answer to a question posed by Epstein-Shapiro and investigate extensions of some related results. This note is of expository character and discusses the history of the problem, some examples and announces some new results.},
author = {Jakub Byszewski},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {31-36},
title = {Some remarks about the Dedekind-Mertens lemma},
url = {http://eudml.org/doc/286593},
volume = {108},
year = {2016},
}

TY - JOUR
AU - Jakub Byszewski
TI - Some remarks about the Dedekind-Mertens lemma
JO - Banach Center Publications
PY - 2016
VL - 108
IS - 1
SP - 31
EP - 36
AB - The Dedekind-Mertens lemma relates the contents of two polynomials and the content of their product. Recently, Epstein and Shapiro extended this lemma to the case of power series. We review the problem with a special emphasis on the case of power series, give an answer to a question posed by Epstein-Shapiro and investigate extensions of some related results. This note is of expository character and discusses the history of the problem, some examples and announces some new results.
LA - eng
UR - http://eudml.org/doc/286593
ER -

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