- XSummer -超越函数与符号求和
- XSummer - Transcendental Functions and Symbolic Summation in Form
摘要：
调和和及其推广在计算量子场论中的高阶微扰修正时是非常有用的。特别令人感兴趣的是所谓的嵌套和，其中调和和及其推广出现作为积木，起源于例如从广义超几何函数的扩展周围的整数值的参数。在这封信中，我们讨论了几种算法的实施，以解决这些款项的代数手段，使用计算机代数系统的形式。
英文摘要：
Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order perturbative corrections in quantum field theory. Of particular interest have been the so-called nested sums,where the harmonic sums and their generalizations appear as building blocks, originating for example from the expansion of generalized hypergeometric functions around integer values of the parameters. In this Letter we discuss the implementation of several algorithms to solve these sums by algebraic means, using the computer algebra system Form.
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