The algebra and combinatorics of shuffles and multiple zeta values

Journal of Combinatorial Theory. Series A

Volumn 97, Issue 1, 2002, Pages 43-61

  Bowman, Douglas ^a   Bradley, David M ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b UNIVERSITY OF MAINE   (United States)

Author keywords

Iterated integral; Lie algebra; Multiple zeta value; Shuffle

Indexed keywords

EID: 0036172491     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.2001.3194     Document Type: Article

References (19)

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2. Special values of multiple polylogarithms
3. Combinatorial aspects of multiple zeta values
4. Resolution of some open problems concerning multiple zeta evaluations of arbitrary depth
5. Iterated integrals and exponential homomorphisms
6. Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula
7. Algebras of iterated path integrals and fundamental groups
8. Mathematical aspects of the quantum theory of fields, V
9. Multiple polylogarithms, cyclotomy and modular complexes
10. Algebraic structures on the set of multiple zeta values
11. Relations of multiple zeta values and their algebraic expression
12. A theorem of Friedrichs
13. On the exponential solution of differential equations for a linear operation
14. Lyndon words, polylogarithms and the Riemann ζ function
15. A generalization of the duality and sum formulas on the multiple zeta values
16. A natural ring basis for the shuffle algebra and an application to group schemes
17. Lie elements and an algebra associated with shuffles
18. Values of zeta functions and their applications