Mathematical Sciences: Convolution Orthogonality

这笔赠款支持B.Smith教授致力于一般陶伯利亚定理及其在数论中的应用的研究。特别是，他希望发展一个适用于孪生素数猜想中出现的积分估计的陶伯利亚定理。解析数论的领域适用于整体离散领域的分析技术。这些技术依赖于连续性和极限的概念，起源于微积分。使用连续方法研究离散的想法已经有两个世纪的历史了，但随着现代解析数学家的工作，该领域获得了新的新生。

This grant supports the research of Professor B. Smith to work on general Tauberian theorems and their applications to number theory. In particular, he wishes to develop a Tauberian theorem that would be applicable to the estimation of integrals that arise in the twin prime conjecture. The field of analytic number theory applies to the discrete realm of the whole numbers the techniques of analysis. These techniques, dependent on the notions of continuity and limit, originated with the calculus. The idea of using continuous methods to investigate the discrete is two centuries old, but with the work of the modern analytic number theorists, the field has had a new rebirth.