Note on the Monotonicity of Coefficients for Some q-Series Arising from Ramanujan's Lost Notebook |
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| Authors: | Liaw Wen-Chin |
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| Institution: | (1) Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801, USA |
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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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| Keywords: | q-series partitions vector partitions rank crank Lost Notebook |
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