Harmonic sums and polylogarithms generated by cyclotomic polynomials

Journal of Mathematical Physics

Volumn 52, Issue 10, 2011, Pages

  Ablinger, Jakob ^a   Blümlein, Johannes ^b   Schneider, Carsten ^a  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b DESY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80055111894     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3629472     Document Type: Article

References (95)

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88. Note that we defined here the second letter by 1/(x - 1) which differs in sign from the corresponding letter in Ref. 26. Numerical implementations were given in Refs. 3334. A few extensions of iterated integrals introduced in Ref. 26 based on linear denominator functions of different kind, which are used in quantum-field theoretic calculations, were made in Refs. 3435.
89. For the relations given in this section we mostly present the results, giving for few cases the proofs in Appendix The other proofs proceed in similar manner.
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95. We would like to thank D. Broadhurst for communicating this relation to us.