XSummer -- transcendental functions and symbolic summation in form
From MaRDI portal
Publication:709874
DOI10.1016/j.cpc.2005.12.014zbMath1196.68332arXivmath-ph/0508008OpenAlexW2053886120MaRDI QIDQ709874
Publication date: 18 October 2010
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0508008
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Cites Work
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- Algebraic relations between harmonic sums and associated quantities.
- The three-loop splitting functions in QCD: the non-singlet case
- The three-loop splitting functions in QCD: the singlet case
- Multiple polylogarithms, cyclotomy and modular complexes
- The algebra of multiple harmonic series
- Application of the negative-dimension approach to massless scalar box integrals
- Symbolic expansion of transcendental functions
- HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
- HARMONIC POLYLOGARITHMS
- Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
- Expansion around half-integer values, binomial sums, and inverse binomial sums
