二次型诱导的字母上的迭代积分
Iterated integrals over letters induced by quadratic forms
摘要：
提出了一种基于实值二次型诱导字母和库默-庞加莱字母的迭代积分的自动处理方法。这些量出现在分析单和多尺度费曼图计算。为了使表示紧致化，人们希望在计算机代数实现中应用这些量的一般性质。我们提供了减少的基础表示，扩展，解析延拓和数值计算这些数量。
英文摘要：
An automated treatment of iterated integrals based on letters induced by real-valued quadratic forms and Kummer--Poincaré 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
