Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: the RICA package

Johannes Blümlein, Nikolai Fadeev, Carsten Schneider

Research output: Contribution to journalArticlepeer-review

Abstract

Nested binomial sums form a particular class of sums that arise in the context of particle physics computations at higher orders in perturbation theory within QCD and QED, but that are also mathematically relevant, e.g., in combinatorics. We present the package RICA (Rule Induced Convolutions for Asymptotics), which aims at calculating Mellin representations and asymptotic expansions at infinity of those objects. These representations are of particular interest to perform analytic continuations of such sums. arXiv:2308.06042 [hep-ph]
Original languageEnglish
Pages (from-to)31-34
Number of pages4
JournalACM Communications in Computer Algebra
Volume57
Issue number2
DOIs
Publication statusPublished - Jun 2023

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101009 Geometry
  • 101012 Combinatorics
  • 101013 Mathematical logic
  • 101020 Technical mathematics

JKU Focus areas

  • Digital Transformation

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