Modular forms and $k$-colored generalized Frobenius partitions
نویسندگان
چکیده
منابع مشابه
A simple proof of some congruences for colored generalized frobenius partitions
where c#,Jr) is the number of F-partitions of r using h colors with (at most) s repetitions where s can be any positive integer or 00 (to represent no restriction on repetitions). The proofs of these congruences were based on some interesting congruence properties of compositions and were combinatorial in nature. Though the proofs were straightforward, they were somewhat lengthy and tedious. Du...
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1. Background and introduction. In his 1984 Memoir of the American Mathematical Society, Andrews [2] introduced two families of partition functions, φk(m) and cφk(m), which he called generalized Frobenius partition functions. In this paper, we will focus our attention on one of these functions, namely cφ2(m), which denotes the number of generalized Frobenius partitions of m with 2 colors. In [2...
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Article history: Received 22 August 2013 Accepted 20 December 2013 Available online 17 January 2014 Communicated by George E. Andrews MSC: 11P82 11P84 11F37 11F50 33D15
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2018
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/7447