Remarks on linear independence of \(q\)-harmonic series

DOI10.1007/S10958-012-0653-2zbMath1345.11048OpenAlexW1974140145MaRDI QIDQ2256729

Peter Bundschuh

Publication date: 20 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0653-2

zbMATH Keywords

cyclotomic polynomialslinear independence\(q\)-harmonic series\(q\)-zeta-value

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Irrationality; linear independence over a field (11J72)

Related Items (1)

Linear independence of \(q\)-logarithms over the Eisenstein integers

Cites Work

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• Linear independence of values of a certain Lambert series
• Linear independence of \(q\)-analogues of certain classical constants
• Irrationality of certain Lambert series
• On the irrationality of \(\sum (1/(q^ n+r))\)
• Linear independence of certain Lambert and allied series
• Irrationality measures for certain $q$-mathematical constants
• Heine's basic transform and a permutation group for q-harmonic series
• On the irrationality of certain series

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