Iterated Residues and Multiple Bernoulli Polynomials
Iterated Residues and Multiple Bernoulli Polynomials
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迭代留数和多个伯努利多项式
DOI：
10.1155/s1073792898000567
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
A. Szenes
中科院分区：
文献类型：
--
作者：
A. Szenes
我们描述了一种计算某些无穷和的有效方法，这是经典伯努利多项式的推广。如Edward Witten在二维规范论的论文中所示，二维拓扑Yang-Mills理论的相关函数（或平面连接模空间上的交数）可以用这种无穷和的形式给出。因此，特别地，我们的结果给出了在任意紧结构群G的情况下这些相关函数的有限表达式。
We describe an effective method for calculating certain infinite sums, generalizations of the classical Bernoulli polynomials. As shown by Edward Witten in his papers on two-dimensional gauge theories, the correlation functions of two-dimensional topological Yang-Mills theory (or intersection numbers on moduli spaces of flat connections) can be given in the form of such infinite sums. Thus, in particular, our results give finite expressions for these correlation functions in the case of arbitrary compact structure groups G.