ON NEW FORMULAS FOR THE ROGERS-RAMANUJAN IDENTITIES
Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 103
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 (defined 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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