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- W3080773315 abstract "We insert additional variables into Warnaar’s [Formula: see text]-analogue of Nicomachus’ identity and other related identities, and compute discriminants with respect to [Formula: see text]. Factorization of these discriminants reveals pairs of partitions that conjecturally relate in the manner of Wheatstone. The factorization also yields, conjecturally, families of polynomials with relations to various Molien series, remarkable rational generating functions, and notable root distributions. For a [Formula: see text]-analogue of Nicomachus’ identity produced by Cigler, we provide proofs of the partition properties. We also state and in part prove tight inequalities for the elements of two interlacing sequences that led us to the “twin” of Warnaar’s [Formula: see text]-analogue." @default.
- W3080773315 created "2020-09-01" @default.
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- W3080773315 date "2020-10-05" @default.
- W3080773315 modified "2023-09-24" @default.
- W3080773315 title "Twin Nicomachean q-identities and conjectures for the associated discriminants, polynomials, and inequalities" @default.
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- W3080773315 doi "https://doi.org/10.1142/s1793042120400175" @default.
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