Semicomplete Arithmetic Sequences, Division of Hypercubes, and the Pell Constant

zbMath1462.05030arXiv2102.07083MaRDI QIDQ4987384

Zachary Hoelscher

Publication date: 3 May 2021

Full work available at URL: https://arxiv.org/abs/2102.07083

zbMATH Keywords

\(q\)-seriesPell equationinteger partitionsPell constant

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17)

Uses Software

• OEIS

Cites Work

• Unimodality of Gaussian coefficients: A constructive proof
• The Number of Real Quadratic Fields Having Units of Negative Norm
• Counting Restricted Partitions of Integers into Fractions: Symmetry and Modes of the Generating Function and a Connection to $\omega(t)$
• Note on Complete Sequences of Integers
• Unnamed Item

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