Some remarks about the Dedekind–Mertens lemma
Volume 108 / 2016
Banach Center Publications 108 (2016), 31-36
MSC: Primary: 13F25, 13A15; Secondary: 13B25.
DOI: 10.4064/bc108-0-3
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.
