Hua Luogeng

(1910～1985)

Mathematician, academician of the Chinese Academy of Sciences. Born on November 12, 1910 in Jintan, Jiangsu Province, and died on June 12, 1985 in Tokyo, Japan.

He graduated from Jintan Middle School in 1924 and studied hard on his own. After 1930, he taught at Tsinghua University. In 1936, he went to visit and study at Cambridge University in England. After returning to China in 1938, he served as a professor at Southwest Associated University. He went to the United States in 1946 and served as a researcher at the Princeton Institute of Mathematics and a professor at Princeton University and the University of Illinois. He returned to China in 1950. He has successively served as professor of Tsinghua University, director and honorary director of the Institute of Mathematics and the Institute of Applied Mathematics of the Chinese Academy of Sciences, chairman and honorary chairman of the Chinese Mathematical Society, director of the National Mathematics Competition Committee, foreign academician of the National Academy of Sciences of the United States, and academician of the Third World Academy of Sciences. Academician of the Bavarian Academy of Sciences, Federal Republic of Germany, deputy director, vice president, and member of the presidium of the Department of Physics, Mathematics, and Chemistry of the Chinese Academy of Sciences, director and vice president of the Department of Mathematics of the University of Science and Technology of China, vice chairman of the China Association for Science and Technology, and member of the Academic Degrees Committee of the State Council. He served as a member of the Standing Committee of the National People's Congress from the first to the sixth session and vice chairman of the Sixth National Committee of the Chinese People's Political Consultative Conference. He has been awarded honorary doctorates from the University of Nancy in France, the Chinese University of Hong Kong and the University of Illinois in the United States. He is mainly engaged in research and teaching in the fields of analytic number theory, matrix geometry, canonical groups, automorphic function theory, function theory of multiple complex variables, partial differential equations, high-dimensional numerical integration and other fields, and has made outstanding achievements. In the 1940s, the historical problem of estimating the complete trigonometric sum of Gaussian was solved and the best error order estimate was obtained (this result has been widely used in number theory); on G.H. Hardy and J.E. Littlewood's work on Waring's problem and E .Wright's results on the Tower Problem made significant improvements and remain the best record today.

In terms of algebra, it proves the basic theorem of one-dimensional projective geometry that has been left for a long time in history; it gives a simple and direct proof that the normal subbody of a body must be included in its center. , known as the Cartan-Breuer-Hua theorem. His monograph "The Theory of Stacked Prime Numbers" systematically summarized, developed and improved Hardy and Littlewood's circle method, Vinogradov's triangle sum estimation method and his own method. Its main results are still among the best in the world after more than 40 years of publication. With its leading position, it has been translated into Russian, Hungarian, Japanese, German and English and published, becoming one of the classic number theory works in the 20th century. His monograph "Harmonic Analysis on Multiple Typical Domains of Complex Variables" uses sophisticated analysis and matrix techniques, combined with group representation theory, to specifically give the complete orthogonal system of typical fields, thus giving the relationship between Cauchy and Poisson kernels. expression. This work has had a broad and profound impact on harmonic analysis, complex analysis, differential equations and other research, and has won the first prize of the China Natural Science Award. He advocates the development of applied mathematics and computers. He has published many books such as "Pinghua on Coordination Methods" and "Optimization" and promoted their application in China. Collaborating with Professor Wang Yuan, he achieved important results in the application research of modern number theory methods, which is called the "Hua-Wang method". He has made important contributions to the development of mathematics education and science popularization. He has published more than 200 research papers and dozens of monographs and popular science works.