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- W4372280116 abstract "For a random partition, one of the most basic questions is: what can one expect about the parts which arise? For example, what is the distribution of the parts of random partitions modulo $N$? Since most partitions contain a $1$, and indeed many $1$s arise as parts of a random partition, it is natural to expect a skew towards $1pmod{N}$. This is indeed the case. For instance, Kim, Kim, and Lovejoy recently established ``parity biases'' showing how often one expects partitions to have more odd than even parts. Here, we generalize their work to give asymptotics for biases $mod N$ for partitions into distinct parts. The proofs rely on the Circle Method and give independently useful techniques for analyzing the asymptotics of Nahm-type $q$-hypergeometric series." @default.
- W4372280116 created "2023-05-07" @default.
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- W4372280116 date "2023-05-04" @default.
- W4372280116 modified "2023-09-23" @default.
- W4372280116 title "Asymptotics of parity biases for partitions into distinct parts via Nahm sums" @default.
- W4372280116 doi "https://doi.org/10.48550/arxiv.2305.02928" @default.
- W4372280116 hasPublicationYear "2023" @default.
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