2014/07/17 by Jakob Ablinger, Ablinger, Jakob, J. Blümlein +5 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Coding theory and cryptography #Electromagnetic Scattering and Analysis #FOS: Computer and information sciences #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Quantum Computing Algorithms and Architecture #Symbolic Computation (cs.SC)
paper · pdf · doi:10.48550/arxiv.1407.4721
openalex publication_date 2014/07/17 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
Nested sums containing binomial coefficients occur in the computation of\nmassive operator matrix elements. Their associated iterated integrals lead to\nalphabets including radicals, for which we determined a suitable basis. We\ndiscuss algorithms for converting between sum and integral representations,\nmainly relying on the Mellin transform. To aid the conversion we worked out\ndedicated rewrite rules, based on which also some general patterns emerging in\nthe process can be obtained.\n