Mathematical Sciences: Dedekind's Eta-function, Combinatorics, Congruences and Approximations

该基金支持F教授的研究。Garvan到 研究加法数论中的问题。 特别是他 我将集中讨论由此产生的各种猜测 Dedekind的eta函数和划分理论之间的联系。 他还希望继续研究麦克唐纳根系统 纪念品。 这是数论领域的研究。 Number 理论开始于整数和问题，如 一个整数被另一个整数整除。 它是其中的 最古老的数学领域，它最初是追求 纯粹的美学原因。 然而，在过去的半个世纪里， 它已经成为开发新算法的重要工具， 计算机科学和新的电子纠错码。

This grant supports the research of Professor F. Garvan to work on problems in additive number theory. In particular he will concentrate on various conjectures arising from the connection between Dedekind's eta function and partition theory. He also hopes to continue working on the Macdonald root system conjectures. This is research in the field of number theory. Number theory starts with the whole numbers and questions such as the divisibility of one whole number by another. It is among the oldest fields of mathematics and it was originally pursued for purely aesthetic reasons. However, within the last half century, it has become an essential tool in developing new algorithms for computer science and new error correcting codes for electronics.