An automated treatment of iterated integrals based on letters induced by real-valued quadratic forms and Kummer--Poincar\'e 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.

中文翻译：

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二次形式引起的字母上的迭代积分

提出了一种基于实值二次形和Kummer-Poincar'e字母诱导的迭代积分的自动处理方法。这些量出现在分析式单尺度和多尺度费曼图计算中。为了简化表示，人们希望在计算机代数实现中应用这些数量的一般属性。我们提供了对这些数量的基础表示，扩展，解析连续性和数值评估的简化。