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Iterated integrals over letters induced by quadratic forms

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 نشر من قبل Johannes Bl\\\"umlein
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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An automated treatment of iterated integrals based on letters induced by real-valued quadratic forms and Kummer--Poincare letters is presented. These quantities emerge in analytic single and multi--scale Feynman diagram calculations. To compactify representations, one wishes to apply general properties of these quantities in computer-algebraic implementations. We provide the reduction to basis representations, expansions, analytic continuation and numerical evaluation of these quantities.



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