ON NEW FORMULAS FOR THE ROGERS-RAMANUJAN IDENTITIES

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 96

Volume : 7 , Issue : 2
DOI:
Author :
Hemar Godinho (Departamento de Matematica, Universidade de Braslia, Braslia-DF, 70910-900, BRAZIL)
Jose Plinio O. Santos (Departamento de Matematica Aplicada - IMECC, Universidade de Campinas, Campinas-SP, 13083-859, BRAZIL)

Abstract

In a previous work we presented a correspondence between unrestricted partitions of n and the number of representations of m as a t-squared partition (defi ned as the frequency of m), for m in the interval [1 ; n2 -1]. Here we want to go a step further presenting also correspondences between the Rogers-Ramanujan identities and frequency of numbers also represented by t-squared partitions.

Keywords and Phrases

Partitions, Matrix Representation, Partitions Identities.

A.M.S. subject classification

11P81, 05A19.

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