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.

Bibliographic Details
Main Authors: I.M. CRAVEIRO, A. WAGNER, D. DOMINGUES
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional
Series:TEMA
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512015000300253&lng=en&tlng=en