On generalizations of partition theorems of Schur and Andrews to overpartitions
type: Item
instance of: scholarly article
title: On generalizations of partition theorems of Schur and Andrews to overpartitions
zbMATH Open document ID: 1307.11106
author: Jehanne Dousse
published in: The Ramanujan Journal
publication date: 2015-01-16T00:00:00Z
review text: In the first part of the paper the author presents three new proofs of ``Schur's theorem for overpartitions''. These proofs use recurrences and generating functions. In [Proc. Am. Math. Soc. 19, 441--444 (1968; Zbl 0155.37004); Am. J. Math. 91, 18--24 (1969; Zbl 0186.30203)], \textit{G. E. Andrews} generalized Schur's partition theorem. In the second part of the paper two theorems are presented that provide a first step towards the generalization of Andrews' theorems to overpartitions. The proofs of these theorems also use recurrences.
Mathematics Subject Classification ID: 11P84
Mathematics Subject Classification ID: 11P81
zbMATH DE Number: 6387141
zbMATH Keywords: integer partitions
zbMATH Keywords: overpartitions
zbMATH Keywords: Schur
zbMATH Keywords: Andrews
zbMATH Keywords: generating functions
zbMATH Keywords: recurrences
reviewed by: Claudia Alfes-Neumann
MaRDI profile type: Publication
full work available at URL: s11139-013-9532-9
OpenAlex ID: W2033488792
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DOI: 10.1007/S11139-013-9532-9
description: scientific article; zbMATH DE number 6387141