Mathematical Sciences: Topics in Analytic and Algorithmic Number Theory

这笔赠款支持C.Pomance教授、Helmut Maier教授和Andrew Granville教授在分析、计算和加法数论问题上的研究。波梅兰斯教授将继续研究整数因式分解算法，特别是数字域筛子。Maier教授将研究分圆多项式的系数的大小和素数分布中的不规则性。格兰维尔教授还将研究素数的分布以及筛子理论。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 Professors C. Pomerance, Helmut Maier and Andrew Granville to work on problems in analytic, computational, and additive number theory. Professor Pomerance will continue to work on integer factoring algorithms, in particular the number field sieve. Professor Maier will work on the size of the coefficients of cyclotomic polynomials and irregularities in the distribution of primes. Professor Granville will also work on the distributions of the primes as well as sieve theory. 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.