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In this survey article we present difference field algorithms for symbolic summation.
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In: Proc. Loops and Legs in Quantum Field Theory 2012, PoS(LL2012)033, pp. 1–12 (2012)
Ablinger, J., Blümlein, J., Freitas, A.D., Hasselhuhn, A., Klein, S., Raab, C., Round, M., Schneider, C., Wissbrock, F.: Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of N · 2012
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Ablinger, J., Blümlein, J., Hasselhuhn, A., Klein, S., Schneider, C., Wissbrock, F.: Massive 3-loop Ladder Diagrams for Quarkonic Local Operator Matrix Elements · 2012
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In: Loops and Legs in Quantum Field Theory 2012, PoS(2012), pp. 1–14 (2012)
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In: Proceedings of RADCOR 2011, vol. PoS(RADCOR2011)32, pp. 1–9 (2012)
Blümlein, J., Hasselhuhn, A., Schneider, C.: Evaluation of Multi-Sums for Large Scale Problems · 2012
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In: J. van der Hoeven, M. van Hoeij (eds.) Proceedings of ISSAC 2012, pp. 122–129 (2012)
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To appear in: J. Blümlein, C. Schneider (eds.) Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions. Springer (2013)
Ablinger, J., Blümlein, J.: Harmonic sums, polylogarithms, special numbers, and their generalizations · 2013
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Ablinger, J., Blümlein, J., Schneider, C.: Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms (2013) · 2013
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In preperation (2013)
Ablinger, J., Blümlein, J., Schneider, C.: Structural relations of harmonic sums · 2013
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Nuclear Physics B 866
Blümlein, J., Hasselhuhn, A., Klein, S., Schneider, C.: The O ( α s 3 n f T F 2 C A , F ) O(\alpha_{s}^{3}n_{f}T_{F}^{2}C_{A,F}) Contributions to the Gluonic Massive Operator Matrix Elements · 2013
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To appear in: J. Blümlein, C. Schneider (eds.) Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions. Springer (2013)
Kauers, M.: The holonomic toolkit · 2013
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To appear in: J. Blümlein, C. Schneider (eds.) Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions. Springer (2013)
Petkovšek, M., Zakrajšek, H.: Solving linear recurrence equationswith polynomial coefficients · 2013
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