\(q\)-Pell sequences and two identities of V. A. Lebesgue

DOI10.1016/S0012-365X(01)00475-7zbMath1007.05017OpenAlexW2012754703MaRDI QIDQ1849998

Andrew V. Sills, Santos, José Plínio O.

Publication date: 2 December 2002

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(01)00475-7

zbMATH Keywords

partitions\(q\)-seriescombinatorial identitiesPell numbers

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (20)

New polynomial analogues of Jacobi's triple product and Lebesgue's identities ⋮ On the Ramanujan-type congruences modulo 8 for the overpartitions into odd parts ⋮ The infinite sum of the cubes of reciprocal pell numbers ⋮ \texttt{RRtools} -- a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities ⋮ Gordon's theorem for overpartitions. ⋮ The infinite sum of reciprocal Pell numbers ⋮ Congruences for \(q\)-Lucas numbers ⋮ On the number of overpartitions into odd parts ⋮ Combinatorial proofs of various \(q\)-Pell identities via tilings ⋮ New two-line arrays representing partitions ⋮ Overpartitions and real quadratic fields ⋮ A NEW EXPLORATION OF THE LEBESGUE IDENTITY ⋮ Restricted partitions and \(q\)-Pell numbers ⋮ Arithmetic properties of \(q\)-Fibonacci numbers and \(q\)-Pell numbers ⋮ New proofs of identities of Lebesgue and Göllnitz via tilings ⋮ Bilateral Bailey lemma and Rogers-Ramanujan identities ⋮ A truncated theta identity of Gauss and overpartitions into odd parts ⋮ On a nonlinear relation for computing the overpartition function ⋮ Unnamed Item ⋮ Congruences for \(\ell\)-regular overpartitions into odd parts

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