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Multiple zeta values and iterated log-sine integrals
- Publication Year :
- 2019
- Publisher :
- arXiv, 2019.
-
Abstract
- We introduce an iterated integral version of (generalized) log-sine integrals (iterated log-sine integrals) and prove a relation between a multiple polylogarithm and iterated log-sine integrals. We also give a new method for obtaining relations among multiple zeta values, which uses iterated log-sine integrals, and give alternative proofs of several known results related to multiple zeta values and log-sine integrals.<br />Comment: 18 pages
- Subjects :
- Pure mathematics
Polylogarithm
Mathematics - Number Theory
General Mathematics
11M41 (Primary), 33E20 (Secondary)
Mathematical proof
Iterated integrals
Iterated function
TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY
FOS: Mathematics
Sine
Number Theory (math.NT)
Mathematics
MathematicsofComputing_DISCRETEMATHEMATICS
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....6a93d692ade8415d3504a300cdc5a0f4
- Full Text :
- https://doi.org/10.48550/arxiv.1904.09717