On the $q$-Pell sequences and sums of tails

DOI10.21136/CMJ.2017.0550-15zbMATH Open1459.11045arXiv1312.0134OpenAlexW3100510706MaRDI QIDQ5270969

Alexander E. Patkowski

Publication date: 3 July 2017

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

Abstract: We examine the $q$-Pell sequences and their applications to weighted partition theorems and values of $L$-functions. We also put them into perspective with sums of tails.

Full work available at URL: https://arxiv.org/abs/1312.0134

zbMATH Keywords

partition\(q\)-series\(L\)-functionsum of tails

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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

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