A Congruence for Generalized Frobenius Partitions with 3 Colors Modulo Powers of 3
A Congruence for Generalized Frobenius Partitions with 3 Colors Modulo Powers of 3
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DOI：
10.1007/978-1-4612-3464-7_21
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发表时间：
1990
期刊：
影响因子：
--
通讯作者：
L. W. Kolitsch
中科院分区：
文献类型：
--
作者：
L. W. Kolitsch
In 1919 Ramanujan conjectured congruences for certain classes of ordinary partitions modulo powers of 5 and 7 which were later proved by G.N. Watson. The corresponding congruences for colored generalized Frobenius partitions with 5 and 7 colors were recently derived by establishing a relationship between these partitions and ordinary partitions [5]. In this paper we prove similar congruences for colored generalized Frobenius partitions with 3 colors modulo powers of 3 using certain generating function identities and the modular equation of order 3.
