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- W2019898158 abstract "Ramanujan's congruence p (5 n + 4) ≡ 0 (mod 5) for ordinary partitions is well-known. This congruence is just the first in a family of congruences modulo 5; namely, p (5 n n + δ α ) ≡ 0 (mod 5 α ) for α ≧ 1 where δ α represents the reciprocal of 24 modulo 5 α . A similar family of congruences exists for ordinary partitions modulo 7. In this paper we prove the corresponding congruences for generalized Frobenius partitions with 5 and 7 colors modulo 5 and 7, respectively, by establishing an equality between these two classes of generalized Frobenius partitions and certain ordinary partitions. The proofs are based on some elegant identities of Ramanujan." @default.
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- W2019898158 date "1989-10-01" @default.
- W2019898158 modified "2023-09-26" @default.
- W2019898158 title "A relationship between certain colored generalized Frobenius partitions and ordinary partitions" @default.
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- W2019898158 doi "https://doi.org/10.1016/0022-314x(89)90008-5" @default.
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