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On the Asymptotic Behaviour of General Partition Functions, II

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Number Theory and Modular Forms

Part of the book series: Developments in Mathematics ((DEVM,volume 10))

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Abstract

Let A = {a 1, a 2,...} be a set of positive integers and let p A (n) and q A (n) denote the number of partitions of n into a’s, resp. distinct a’s. In an earlier paper the authors studied large values of \( \frac{{\log \left( {\max \left( {2,p\mathcal{A}\left( n \right)} \right)} \right)}}{{\log \left( {\max \left( {2,q\mathcal{A}\left( n \right)} \right)} \right)}}. \) In this paper the small values of the same quotient are studied.

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Nicolas, JL., Sárközy, A. (2003). On the Asymptotic Behaviour of General Partition Functions, II. In: Berndt, B., Ono, K. (eds) Number Theory and Modular Forms. Developments in Mathematics, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6044-6_21

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  • DOI: https://doi.org/10.1007/978-1-4757-6044-6_21

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5395-7

  • Online ISBN: 978-1-4757-6044-6

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