IRRATIONALITY OF LAMBERT SERIES ASSOCIATED WITH A PERIODIC SEQUENCE

DOI10.1142/S1793042113501121zbMath1291.11101OpenAlexW2020101939MaRDI QIDQ5408828

Yohei Tachiya, Florian Luca

Publication date: 11 April 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042113501121

zbMATH Keywords

infinite seriesLambert seriesirrationalityperiodic sequence

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (2)

Linear independence of certain sums of reciprocals of the Lucas numbers ⋮ Refinement of the Chowla-Erdős method and linear independence of certain Lambert series

Cites Work

• Linear independence of values of a certain Lambert series
• On arithmetical properties of certain \(q\)-series
• Linear independence of \(q\)-analogues of certain classical constants
• Irrationality of certain Lambert series
• Linear independence of certain Lambert and allied series
• Irrationality measures for certain $q$-mathematical constants
• On the irrationality of certain series

This page was built for publication: IRRATIONALITY OF LAMBERT SERIES ASSOCIATED WITH A PERIODIC SEQUENCE