Truncations of Gauss' square exponent theorem

DOI10.21136/CMJ.2022.0429-21WikidataQ113727606 ScholiaQ113727606MaRDI QIDQ5878458

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Publication date: 21 February 2023

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

\(q\)-binomial coefficient\(q\)-binomial theoremGauss' identity

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

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• The truncated pentagonal number theorem
• Proofs of two conjectures on truncated series
• Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas
• Lattice paths and positive trigonometric sums
• Some finite generalizations of Gauss's square exponent identity
• Note on the truncated generalizations of Gauss's square exponent theorem
• Some observations on Dyson's new symmetries of partitions
• Two truncated identities of Gauss
• $q$-analogues of two supercongruences of Z.-W. Sun
• A TRUNCATED IDENTITY OF EULER AND RELATED -CONGRUENCES
• Some finite generalizations of Euler's pentagonal number theorem
• A Short Proof of an Identity of Euler

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