论文标题
谐波总和的分析延续：分散表示
Analytic continuation of harmonic sums: dispersion representation
论文作者
论文摘要
我们为任意复杂参数的分析持续嵌套谐波总和提供了一个简单的表示。可以从预定的数据库中获得多种嵌套的谐波总和，以获取这些表示的代表，以用于负整数附近的这些总和的POL表达式。我们描述了分散表示相应结果的精确数值评估的过程。
We present a simple representation for analytically continued nested harmonic sums for the arbitrary complex argument. This representation can be obtained for a wide range of nested harmonic sums from a precomputed database for the pole expressions of these sums near negative integers. We describe the procedure for the precise numerical evaluations of the corresponding results from the dispersion representation.
