Mathematical Sciences: Metaplectric Eisenstein Series and Theta Functions

本研究的第一部分涉及一些 一般线性代数上的亚代数形式理论中的问题 组 这些问题与θ的卷积有关 函数与尖点形式和其他theta函数， θ函数的傅立叶系数的性质， 抛物艾森斯坦级数 本研究的第二部分 关注的是将这项工作扩展到研究 四维复盖上的亚复形 自旋群及其在数论中的一些应用。

The first part of this research is concerned with some problems in the theory of metaplectic forms on the general linear group. These problems are related to convolutions of theta functions with cusp forms and with other theta functions and to the nature of the Fourier coefficients of theta functions and parabolic Eisenstein series. The second part of this research is concerned with an extension of this work to the study of metaplectic forms on the double cover of the four dimensional spin group and with some applications to number theory.