New irrationality measures for q-logarithms
journal contribution
posted on 2025-05-10, 07:56 authored by Tapani Matala-aho, Keijo Väänänen, W. ZudilinThe three main methods used in diophantine analysis of q-series are combined to obtain new upper bounds for irrationality measures of the values of the q-logarithm function lnq(1-z) = [formula could not be replicated], |z| ≤ 1, when p = 1/q ∈ℤ{0,±1} and z∈ℚ.
History
Journal title
Mathematics of ComputationVolume
75Issue
254Pagination
879-889Publisher
American Mathematical SocietyLanguage
- en, English
College/Research Centre
Faculty of Science and Information TechnologySchool
School of Mathematical and Physical SciencesRights statement
First published in Mathematics of Computation in 2006, published by the American Mathematical SocietyUsage metrics
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