Mathematical Sciences: Analysis Group Representation and Number Theory

该项目将解决分析中的问题， 表示论和数论。 分析部分 将包括Radon变换，偏微分方程， 黎曼曲面和散射理论。 关于Group 代表将致力于开发新技术， 处理更高级别的群体。 最后是数论部分 将包含罗杰-拉马努金的身份，先验的 数字和偏微分方程，以及欧拉级数。 这是一个雄心勃勃的计划，旨在解决 各种数学问题交织在一起， 学科

This project will address questions in Analysis, Group Representation Theory, and Number Theory. The part on Analysis will include Radon transform, partial differential equations, Riemann surfaces, and scattering theory. The part on group representations will be devoted to developing new techniques to handle higher rank groups. Finally, the part on number theory will encompass the Roger-Ramanujan identities, transcendental numbers and PDEs, and Euler series. This is an ambitious program designed to solve fundamental problems intertwined among various mathematical disciplines.