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On the Asymptotic Behaviour of General Partition Functions

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Abstract

For A = {a1, a2,...} ⊂ N, let pA(n) denote the number of partitions of n into a's and let qA(n) denote the number of partitions of n into distinct a's. The asymptotic behaviour of the quotient\(\frac{{\log p_A (n)}}{{\log q_A (n)}}\) is studied.

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Nicolas, JL., Sárközy, A. On the Asymptotic Behaviour of General Partition Functions. The Ramanujan Journal 4, 29–39 (2000). https://doi.org/10.1023/A:1009821821206

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  • DOI: https://doi.org/10.1023/A:1009821821206

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