Mathematical Sciences: Theta Functions and Eisenstein Serieson the Metaplectic Group

该奖项支持J. Hoffstein教授的研究， 在自守函数中工作。 他打算努力获得 GL（2）上尖点型对称立方L-级数为兰金Selberg 积分的 他还打算研究非唯一的惠特克模型， 在GL（2）的n重覆盖上的theta函数。 模形式起源于非欧几何， 世纪中期。 数学家和 因此，物理学家很早就意识到许多基本物体 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 J. Hoffstein to work in automorphic functions. He intends to work on obtaining the symmetric cube L-series of a cusp form on GL(2) as a Rankin Selberg integral. He also intends to study non-unique Whittaker models of theta functions on the n-fold cover of GL(2). 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.