Mathematical Sciences: Fourier Coefficients of Metaplectic Forms

9400882利曼该奖项资助丹尼尔·利曼教授对特定椭圆曲线的zeta函数性质的研究。这项工作符合现代数论的一个主要主题，即离散的几何信息可以解析地研究。这种方法对于数论中的问题，特别是丢番图问题似乎非常有效。这项工作属于数论的一般领域。数论是研究整体数的性质的学科，是系统数学中最古老的分支。数学家经常研究丢番图问题，在这些问题中，方程需要有精确的数值解。在现代，这些丢番图问题提供了在数学的许多其他部分创造新理论的动力。最近，数论和丢番图方法在理论、计算机科学和通信中得到了惊人的应用。

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.