Mathematical Sciences: Diophantine Approximations and Pade Approximations

数学科学：丢番图近似和帕德近似

• 批准号: 9022595
• 负责人: David Chudnovsky
• 金额: $ 12.8万
• 依托单位: Columbia University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-15 至 1994-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9022595&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Diophantine; Approximations; Pade

This grant supports the research of Dr. D. Chudnovsky and Dr. G. Chudnovsky as principal investigators. They intend to study approximations to functions and numbers with a view to revealing arithmetic properties of classical constants. They intend to use Pade approximations in conjunction with isomonodromy deformation equations. 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.

这项拨款支持D博士的研究。丘德诺夫斯基和 Dr. G. Chudnovsky担任首席调查员。 他们打算学习 函数和数字的近似，以揭示 经典常数的算术性质 他们打算使用 Pade近似与等单值变形 方程 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。