On the Alder polynomials and a new generalization of the Rogers-Ramanujan identities

Andrews, George E.

doi:10.1090/S0002-9947-1975-0364083-X

On the Alder polynomials and a new generalization of the Rogers-Ramanujan identities
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by George E. Andrews PDF

Trans. Amer. Math. Soc. 204 (1975), 40-64 Request permission

Abstract:

In 1954, H. L. Alder obtained certain analytic generalizations of the Rogers-Ramanujan identities that involved a sequence of polynomials subsequently named the Alder polynomials. The object here is to obtain a new representation of the Alder polynomials from which a new generalization of the Rogers-Ramanujan identities is easily deduced.

References

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An introduction to the theory of numbers

Über einige arithmetische Identitäten

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