Mathematical Sciences: Computer-Generated and Computer-Assisted Research in Combinatorics and Special Functions

该奖项支持D. Zeilberger教授在组合学和特殊函数方面的研究。他打算研究Macdonald猜想、Askey和Gessel关于某些有理幂级数的系数正性的猜想以及Mills、Robbins和Rumsey关于交替符号矩阵的猜想。这项研究是在组合学的一般领域。组合学试图找到有效的方法来研究如何组织离散的对象集合。因此，它对现代通信非常重要，例如电话系统中大型网络的设计以及计算机科学中算法的设计。

This award supports the research of Professor D. Zeilberger to work in combinatorics and special functions. He intends to work on the Macdonald conjecture, the conjecture of Askey and Gessel on positivity of coefficients of certain rational power series and that of Mills, Robbins, and Rumsey on alternating sign matrices. The research is in the general area of combinatorics. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. And, so it is extremely important to modern communications, for example the design of large networks as in telephone systems and the design of algorithms in computer science.