Arithemetic of Integral Quadratic Forms

9401015 Hsia本基金资助Hsia教授研究数论问题。夏教授将继续研究积分和厄米二次型的运算。特别地，他将研究确定空间和有效性结果的强近似。他还打算继续研究旋虫属。这是数论领域的研究。数论从整数和诸如整数能被整数整除之类的问题开始。它是数学中最古老的领域之一，最初纯粹出于审美原因而追求它。然而，在过去的半个世纪里，它已经成为开发计算机科学新算法和电子学新纠错码的重要工具。

9401015 Hsia This grant supports the research of Professors J. Hsia to work on problems in number theory. Professor Hsia will continue to work on the arithmetic of integral and hermitian quadratic forms. Inparticular he will work on strong approximation for definite spaces and effectiveness results. He also intends to continue his study of spinor genera. 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.