Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials

@article{Ablinger2011HarmonicSA,
  title={Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials},
  author={J. Ablinger and J. Bl{\"u}mlein and Carsten Schneider},
  journal={ArXiv},
  year={2011},
  volume={abs/1105.6063}
}
The computation of Feynman integrals in massive higher order perturbative calculations in renormalizable Quantum Field Theories requires extensions of multiply nested harmonic sums, which can be generated as real representations by Mellin transforms of Poincare- iterated integrals including denominators of higher cyclotomic polynomials. We derive the cyclotomic harmonic polylogarithms and harmonic sums and study their algebraic and structural relations. The analytic continuation of cyclotomic… Expand
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