Mathematical Sciences: Fourier Coefficients of Metaplectic Forms

该奖项资助Daniel Lieman教授对特定椭圆曲线zeta函数性质的研究。这项工作与现代数论的一个主要主题保持一致，即离散几何信息可以分析地研究。这种方法似乎对数论中的问题非常有效，特别是丢番图问题。这项工作属于数论的一般范畴。数论是研究整数性质的学科，是系统数学中最古老的分支。数论学家经常研究丢番图问题，这些问题要求方程有精确的数值解。在现代，这些丢番图问题为在数学的许多其他部分创造新的理论提供了动力。最近，数论和丢番图方法在理论计算机科学和通信领域得到了惊人的应用。

9400882 Lieman This award funds the research of Professor Daniel Lieman on properties of zeta functions of specific elliptic curves. This work is in keeping with a major theme in modern number theory, that discrete geometric information can be studied analytically. This approach seems to be very effective for problems in number theory, particularly diophantine problems. This work falls in the general area of Number Theory. Number Theory is the study of properties of the whole numbers and is the oldest branch of systematic mathematics. Number theorists often study diophantine problems where equations are required to have exact numerical solutions. In modern days, these diophantine problems have furnished the driving force to creation of new theories in many other parts of mathematics. Recently Number Theory and diophantine methods have found astonishing applications in theoretical computer science and communication.