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Research Article

ON NEW FORMULAS FOR THE ROGERS-RAMANUJAN IDENTITIES

H
Hemar Godinho Departamento de Matematica, Universidade de Braslia, Braslia-DF, 70910-900, BRAZIL
J
Jose Plinio O. Santos Departamento de Matematica Aplicada - IMECC, Universidade de Campinas, Campinas-SP, 13083-859, BRAZIL
Volume 7, Issue 2 Pages 33-46 June 30, 2020 234 downloads
Article overview

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

PartitionsMatrix RepresentationPartitions Identities.

AMS Subject Classification

11P81, 05A19.

Reference information

How to Cite

Hemar Godinho, Jose Plinio O. Santos (2020). ON NEW FORMULAS FOR THE ROGERS-RAMANUJAN IDENTITIES. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 7(2), 33-46.
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