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- W4299687075 abstract "Partitions without sequences of consecutive integers as parts have been studied recently by many authors, including Andrews, Holroyd, Liggett, and Romik, among others. Their results include a description of combinatorial properties, hypergeometric representations for the generating functions, and asymptotic formulas for the enumeration functions. We complete a similar investigation of partitions into distinct parts without sequences, which are of particular interest due to their relationship with the Rogers-Ramanujan identities. Our main results include a double series representation for the generating function, an asymptotic formula for the enumeration function, and several combinatorial inequalities." @default.
- W4299687075 created "2022-10-02" @default.
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- W4299687075 date "2015-01-09" @default.
- W4299687075 modified "2023-09-28" @default.
- W4299687075 title "Distinct parts partitions without sequences" @default.
- W4299687075 doi "https://doi.org/10.48550/arxiv.1501.02305" @default.
- W4299687075 hasPublicationYear "2015" @default.
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