The algebra of multiple harmonic series
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Publication:1368042
DOI10.1006/jabr.1997.7127zbMath0881.11067OpenAlexW2033549448MaRDI QIDQ1368042
Publication date: 8 December 1997
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1997.7127
Symmetric functions and generalizations (05E05) (zeta (s)) and (L(s, chi)) (11M06) Identities, free Lie (super)algebras (17B01) Other Dirichlet series and zeta functions (11M41) Associative rings and algebras arising under various constructions (16S99)
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Cites Work
- Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\)
- Multiple harmonic series
- Triple sums and the Riemann zeta function
- Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions
- Evaluations of \(k\)-fold Euler/Zagier sums: a compendium of results for arbitrary \(k\)
- Evaluation of triple Euler sums
- Duality between quasi-symmetric functions and the Solomon descent algebra
- Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
- On the Evaluation of Some Multiple Series
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