Simplifying Multiple Sums in Difference Fields

Author:

Schneider Carsten

Publisher

Springer Vienna

Reference82 articles.

1. Ablinger, J.: Computer algebra algorithms for special functions in particle physics. Ph.D. thesis, J. Kepler University Linz (2012)

2. Ablinger, J., Blümlein, J.: Harmonic sums, polylogarithms, special numbers, and their generalizations. In: Blümlein, J., Schneider, C. (eds.) Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions. Springer, Vienna (2013)

3. Ablinger, J., Blümlein, J., Klein, S., Schneider, C.: Modern summation methods and the computation of 2- and 3-loop Feynman diagrams. Nucl. Phys. B (Proc. Suppl.) 205–206, 110–115 (2010). ArXiv::1006.4797 (math-ph)

4. Ablinger, J., Blümlein, J., Klein, S., Schneider, C., Wissbrock, F.: The O(α s 3) massive operator matrix elements of O(n f ) for the structure function F 2(x, Q 2) and transversity. Nucl. Phys. B 844, 26–54 (2011). ArXiv:1008.3347 (hep-ph)

5. Ablinger, J., Blümlein, J., Schneider, C.: Harmonic sums and polylogarithms generated by cyclotomic polynomials. J. Math. Phys. 52(10), 1–52 (2011, to appear). arXiv:1007.0375 (hep-ph)

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