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- W2952687871 abstract "In this paper, we obtain infinitely many non-trivial identities and inequalities between full rank differences for 2-marked Durfee symbols, a generalization of partitions introduced by Andrews. A certain strict inequality, which almost always holds, shows that identities for Dyson's rank, similar to those proven by Atkin and Swinnerton-Dyer, are quite rare. By showing an analogous strict inequality, we show that such non-trivial identities are also rare for the full rank, but on the other hand we obtain an infinite family of non-trivial identities, contrasting the partition theoretic case." @default.
- W2952687871 created "2019-06-27" @default.
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- W2952687871 date "2011-02-09" @default.
- W2952687871 modified "2023-10-16" @default.
- W2952687871 title "Inequalities for full rank differences of 2-marked Durfee symbols" @default.
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- W2952687871 doi "https://doi.org/10.48550/arxiv.1102.1814" @default.
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