Generalizations of the Rogers-Ramanujan identities

Henry Alder
1954 Pacific Journal of Mathematics  
μ = C where the left side is the generating function for the number of partitions into parts not congruent to 0, ±k (mod 2k + 1). The G, (x) are polynomials in x and reduce to the monomial x^1 for k = 2, that is, for the Rogers-Ramanujan case. While the right side of (1) is the generating function for the number of
doi:10.2140/pjm.1954.4.161 fatcat:znlyblteungpfcyr636doz3mgu