- Title
- Linear independence of dilogarithmic values
- Creator
- Viola, Carlo; Zudilin, Wadim
- Relation
- Journal fur die Reine und Angewandte Mathematik Vol. 736, p. 193-223
- Publisher Link
- http://dx.doi.org/10.1515/crelle-2015-0030
- Publisher
- Walter de Gruyter
- Resource Type
- journal article
- Date
- 2018
- Description
- We establish the linear independence over Q, in both qualitative and quantitative forms, of the four numbers 1, Li 1 (1/z) = -log(1 - 1/z), Li 2 (1/z) and Li 2 (1/(1 - z)), for all integers z = 9 or z = -8 and for rationals z = s/r or z = 1 - s/r with 1 < r < s, where s is large in comparison with r.
- Subject
- dilogarithmic functions; irrationality measures; linear independence; permutation group method
- Identifier
- http://hdl.handle.net/1959.13/1409020
- Identifier
- uon:35920
- Identifier
- ISSN:0075-4102
- Language
- eng
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