Results on some partition functions arising from certain relations involving the Rogers-Ramanujan continued fractions
arxiv(2020)
摘要
Relations involving the Rogers-Ramanujan continued fractions $R(q),$ $R(q^3 ),$ and $R(q^4)$ are used to find new generating functions and congruences modulo 5 and 25 for 3-core, 4-core, 4-regular, and colored partition functions.
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关键词
partition functions,rogers-ramanujan
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