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

这笔赠款支持F·加文教授研究加数理论中的问题。特别是，他将专注于各种猜想，这些猜想源于德德金德的ETA函数和配分理论之间的联系。他还希望继续研究麦克唐纳的根系猜想。这是数论领域的研究。数论始于整数和诸如一个整数被另一个整数整除的问题。它是最古老的数学领域之一，最初是出于纯粹的美学原因。然而，在过去的半个世纪里，它已经成为开发计算机科学的新算法和电子产品的新纠错码的必要工具。

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.