- Title
- Special values of generalized log-sine integrals
- Creator
- Borwein, Jonathan M.; Straub, Armin
- Relation
- 36th International Symposium on Symbolic and Algebraic Computation, 2011 (ISSAC '11). Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, ISSAC '11 (San Jose, CA 7-11 June, 2011) p. 43-50
- Publisher Link
- http://dx.doi.org/10.1145/1993886.1993899
- Publisher
- Association for Computing Machinery
- Resource Type
- conference paper
- Date
- 2011
- Description
- We study generalized log-sine integrals at special values. At π and multiples thereof explicit evaluations are obtained in terms of Nielsen polylogarithms at ±1. For general arguments we present algorithmic evaluations involving Nielsen polylogarithms at related arguments. In particular, we consider log-sine integrals at π/3 which evaluate in terms of polylogarithms at the sixth root of unity. An implementation of our results for the computer algebra systems Mathematica and SAGE is provided.
- Subject
- log sine integrals; multiple polylogarithms; multiple zeta values; Clausen functions
- Identifier
- http://hdl.handle.net/1959.13/1038075
- Identifier
- uon:13512
- Identifier
- ISBN:9781450306751
- Rights
- © ACM, 2011. This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, {2011} http://doi.acm.org/10.1145/1993886.1993899
- Language
- eng
- Full Text
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