Mathematical Sciences: Diophantine Approximations, Power Series and Pade Approximation Methods with Computer Applications

这个项目涉及David Chudnovsky博士和Gregory Chudnovsky博士在广泛的数学和计算机科学领域所做的研究：旨在揭示经典常量的算术性质的函数和数字的近似，丢番图问题的解决，以及数论在数学物理和计算机科学中的应用。在过去十年的数学发展中，最令人惊讶的现象之一是发生了统一，发现了该领域各分支之间的联系，而这些联系在十年前还被认为是完全不相关的。这项研究将整数理论及其方法与物理学、微分方程式和计算机科学联系在一起，非常符合这种统一的精神。

This project involves research to be done by Drs. David Chudnovsky and Gregory Chudnovsky in a wide variety of mathematical and computer-science fields: approximations to functions and numbers aimed at revealing arithmetic properties of classical constants, solution of Diophantine problems, and applications of number theory to mathematical physics and computer science. One of the most surprising phenomena in the past ten years' developments in mathematics is the unification that has taken place, with connections being discovered among branches of the field that would have been thought absolutely unrelated ten years ago. This research, which brings the theory of whole numbers and its methods to bear on physics, differential equations, and computer science, is very much in this unifying spirit.