- Title
- New irrationality measures for q-logarithms
- Creator
- Matala-aho, Tapani; Väänänen, Keijo; Zudilin, W.
- Relation
- Mathematics of Computation Vol. 75, Issue 254, p. 879-889
- Publisher Link
- http://dx.doi.org/10.1090/S0025-5718-05-01812-0
- Publisher
- American Mathematical Society
- Resource Type
- journal article
- Date
- 2006
- Description
- 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 lnq(1-z) = [formula could not be replicated], |z| ≤ 1, when p = 1/q ∈ℤ{0,±1} and z∈ℚ.
- Subject
- q-logarithms; irrationality; diophantine analysis
- Identifier
- http://hdl.handle.net/1959.13/934868
- Identifier
- uon:11927
- Identifier
- ISSN:0025-5718
- Rights
- First published in Mathematics of Computation in 2006, published by the American Mathematical Society
- Language
- eng
- Full Text
- Reviewed
- Hits: 2272
- Visitors: 2794
- Downloads: 301
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 215 KB | Adobe Acrobat PDF | View Details Download |