Mathematical Sciences: Rankin Selberg Integrals and Applications

该奖项支持S教授的研究。拉利斯和 D教授Ginzburg在自守函数中工作。 教授 拉利斯打算研究兰金塞尔伯格 积分表示的L函数的各种问题， 自守形式理论 金兹伯格教授打算研究 兰金Selberg方法在Langland猜想中的应用。 模形式起源于非欧几何， 世纪中期。 数学家和 因此，物理学家早就意识到， 重要性在其基本性质上是非欧几里德。 此字段为 主要是关于整数的问题，但是 在使用几何和分析时，它保留了与其 历史根源，从而在不同领域的问题， 理论物理理论与信息编码理论 理论

This award supports the research of Professor S. Rallis and Professor D. Ginzburg to work in automorphic functions. Professor Rallis intends to work on the relation of the Rankin Selberg integral representation of L functions to various problems in the theory of automorphic forms. Professor Ginzburg intends to work on applications of the Rankin Selberg method to Langland's conjecture. Modular forms arose out of Non-Euclidean geometry in the middle of the nineteenth century. Both mathematicians and physicists have thus long realized that many objects of fundamental importance are non-Euclidean in their basic nature. This field is principally concerned with questions about the whole numbers, but in its use of geometry and analysis, it retains connection to its historical roots and thus to problems in areas as diverse as gauge theory in theoretical physics and coding theory in information theory.