FURTHER MULTIVARIATE GENERALIZATIONS OF EULER’SPENTAGONAL NUMBER THEOREM AND THEROGERS-RAMANUJAN IDENTITIES

摘要

We use the idea of index invariance under the Franklin mapping to prove higher power generalizations of two results discovered by M. V. Subbarao. We then apply similar ideas to a two-variable generalization of the Rogers-Ramanujan identities due to G. E. Andrews.