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Let k and n be positive integers. Let c ₊ (n) denote the number of k-colored generalized Frobenius partitions of n and let C ₖ (q) be the generating function of c ₊ (n). In this article, we study C ₖ (q) using the theory of modular forms and discover new surprising properties of C ₖ (q).
Chan et al. (Wed,) studied this question.
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