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Volumn 135, Issue 1-3 SPEC.ISS., 2004, Pages 215-219

The Hopf algebra structure of multiple harmonic sums

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EID: 5444259960     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysbps.2004.09.050     Document Type: Article
Times cited : (15)

References (15)
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  • 2
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  • 4
    • 0041541749 scopus 로고    scopus 로고
    • Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
    • D.J. Broadhurst D. Kreimer Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops Phys. Lett. B 393 1997 403-412
    • (1997) Phys. Lett. B , vol.393 , pp. 403-412
    • Broadhurst, D.J.1    Kreimer, D.2
  • 5
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    • Multipartite P-partitions and inner products of skew Schur functions
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    • Multiple harmonic series
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    • 0031571558 scopus 로고    scopus 로고
    • The algebra of multiple harmonic series
    • M.E. Hoffman The algebra of multiple harmonic series J. Algebra 194 1997 477-495
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    • Hoffman, M.E.1
  • 9
    • 5444230611 scopus 로고    scopus 로고
    • Quasi-symmetric functions and mod p multiple harmonic sums
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    • M.E. Hoffman Quasi-symmetric functions and mod p multiple harmonic sums preprint math.NT/0401319
    • Hoffman, M.E.1
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    • 0035981787 scopus 로고    scopus 로고
    • Nested sums, expansions of transcendental functions and multi-scale multi-loop integrals
    • S. Moch P. Uwer S. Weinzierl Nested sums, expansions of transcendental functions and multi-scale multi-loop integrals J. Math. Phys. 43 2002 3363-3386
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  • 13
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    • Algebraic algorithms in perturbative calculations
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    • S. Weinzierl Algebraic algorithms in perturbative calculations preprint hep-th/0305260
    • Weinzierl, S.1
  • 14
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    • Values of zeta functions and their applications
    • Birkhauser Boston, Cambridge, Mass
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    • (1994) First European Congress of Mathematics , vol.2 , pp. 497-512
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  • 15
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    • Algebraic relations for multiple zeta values
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