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New irrationality measures for q-logarithms

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posted on 2025-05-10, 07:56 authored by Tapani Matala-aho, Keijo Väänänen, W. Zudilin
The 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 ln<sub>q</sub>(1-z) = [formula could not be replicated], |z| ≤ 1, when p = 1/q ∈ℤ{0,±1} and z∈ℚ.

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  1. 1.
    DOI - Is published in https://doi.org/10.1090/S0025-5718-05-01812-0
  2. 2.
    ISSN - Is version of https://portal.issn.org/resource/ISSN/0025-5718

Journal title

Mathematics of Computation

Volume

75

Issue

254

Pagination

879-889

Publisher

American Mathematical Society

Language

  • en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

Rights statement

First published in Mathematics of Computation in 2006, published by the American Mathematical Society

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    Keywords

    q-logarithmsirrationalitydiophantine analysis

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