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Note on the Monotonicity of Coefficients for Some q-Series Arising from Ramanujan's Lost Notebook

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Abstract

In this note, we shall give a partition-theoretic interpretation which explains the non-negativity of the coefficients of some q-series arising from Ramanujan's Lost Notebook and prove the almost-increasingness of the coefficients via a vector partition generating function.

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Liaw, WC. Note on the Monotonicity of Coefficients for Some q-Series Arising from Ramanujan's Lost Notebook. The Ramanujan Journal 3, 385–388 (1999). https://doi.org/10.1023/A:1009805223167

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  • DOI: https://doi.org/10.1023/A:1009805223167

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