Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas

DOI10.1016/j.disc.2007.07.106zbMath1156.05003arXiv0707.4328OpenAlexW1976967164MaRDI QIDQ941331

Victor J. W. Guo, Zeng, Jiang

Publication date: 4 September 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.4328

zbMATH Keywords

\(q\)-binomial coefficients\(q\)-Chu-Vandermonde formulafinite Euler pentagonal theoremLucas' formulasmultivariate Lagrange inversion formula

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65)

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Shifted versions of the Bailey and well-poised Bailey lemmas ⋮ A TRUNCATED IDENTITY OF EULER AND RELATED -CONGRUENCES ⋮ Note on the truncated generalizations of Gauss's square exponent theorem ⋮ Some congruences involving central \(q\)-binomial coefficients ⋮ Truncations of Gauss' square exponent theorem

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