Parity Indices and Two-Line Matrix Representation for Partitions

ABSTRACT In this work we present a solution for Andrews's Problem 51 by establishing a bijection between the sets and defined in Fine's Theorem8 and the sets of partitions indexed by their lower parity index1. We also solve Andrews's Problem 6, conjectured in1.

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Bibliographic Details
Main Authors: CRAVEIRO,I.M., WAGNER,A., DOMINGUES,D.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional 2015
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512015000300253
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