Hua is a member of the Presidium of China Academy of Sciences and the Department of Mathematics and Physics, vice chairman of China Association for Science and Technology, outstanding leader of China Democratic League and vice chairman of Chinese People's Political Consultative Conference. More importantly, he is an outstanding mathematician in the modern history of China and even the world. He is the founder and pioneer of China's research on analytic number theory, canonical group, matrix geometry, automorphic function theory and multiple complex variable function theory. His research results on complete trigonometric sum are called Fahrenheit theorem by the international mathematics community. Hua left more than 200 academic papers and monographs in his life. Because of his outstanding achievements in the history of scientific research, he was elected as a foreign academician of the American Academy of Sciences, an academician of the Third World Academy of Sciences, a doctor of Nancy University in France, a doctor of the University of Illinois in the United States, a doctor of the Chinese University of Hong Kong, and an academician of the Bavarian Academy of Sciences in the Federal Republic of Germany. His name has gone down in the annals of internationally renowned scientists. Hua has made remarkable achievements in mathematics all his life, but his life has not been smooth sailing. It was in the rough years that he studied hard and made great contributions to the mathematical research of the motherland and the world. Childhood19101012. Hua was born in a businessman's home in Jintan County, Jiangsu Province. Father Hua Ruidong took part in the Revolution of 1911 in his early years and went bankrupt after doing business. I returned to my hometown, opened a small grocery store and supported my wife and daughter on a meager budget. When Hua was born, his father was forty. The couple had a son in middle age and regarded him as the apple of their eye. In order to bless his son, they buckled two baskets for him when he was born. Therefore, Hua got its name. However, when he was a child, he didn't want to stay in the laundry list as his parents expected. He is very naughty and active, and he is a child who is willing to think. The young Hua Primary School was spent in Rencai Primary School in Jintan City. Because of poor grades, I didn't get a diploma, but only got a diploma [note 1]. Then, enter the newly established Jintan County Junior High School [Note 2]. Hua's talent has just begun to show its edge. His first teacher, Li, is a good math teacher. He guided and cultivated Hua's interest in mathematics, which laid a good foundation for his three-year study in junior high school. In the third year in China, another teacher, Wang Weike, noticed that he was a thinking and innovative student and paid more attention to cultivating him. 1925 after graduating from junior high school in China, I couldn't afford to go to the provincial high school because my family was poor. He entered Shanghai Zhonghua Vocational School, thinking that he could seek a career such as accounting in the future, but he dropped out of school after one year because he could not afford the tuition. Youth 1927 Hua returned to his hometown, helped his father to keep accounts in a small grocery store, and studied math hard at the same time. At this time, Hua stood in front of the counter. When the customer came, he helped his father with business, abacus and bookkeeping. As soon as the customer left, he buried himself in reading and solving math problems. Sometimes I am in a daze, forget to receive the customer, and even take the calculation result as the payment payable by the customer, which surprises the customer. Because similar inexplicable things often happen, after a long time, the neighbors spread it as a joke, and everyone nicknamed him Luo Daku. Whenever something happens that neglects customers, his father is angry and anxious, saying that he is too tired to read gobbledygook and wants to burn the book by force. When there is an argument, he always sticks to his guns. Later, recalling this life, he said bitterly that it was the year I should be educated, but the word "poor" deprived me of my dream. I wiped my nose with clean water. A pair of sandals, a cigarette and a roll of rush struggled to survive. "[Note 3] I stubbornly taught myself until I was eighteen, and Hua married a girl of the same age, Wu. This autumn, the plague spread in Jintan, and the flowers contracted terrible cold syndrome. Under the careful care of my mother and wife, I finally survived, but I was left with a lifelong disability-a deformed joint in my left leg and a limp. After he recovered from his illness, he went out to make a living and limped along the street in his hometown. People felt sorry for him and said that he had become like this at a young age. How will he live in the future? "Hearing these comments, he felt very uncomfortable. After careful consideration, he decided to devote his life to mathematics. He thinks I have no choice. To do other work, you have to run around or need equipment. I chose to teach because it only needs a pen and a piece of paper-the props are simple. "Just an algebra book, a geometry book and a 50-page calculus book. However, where there is a will, there is a way. At the age of nineteen, Hua finally wrote the reason why the famous quintic equation of Su Jiaju's algebra could not be established. At that time, Xiong Qing, head of the Department of Mathematics at Peking University in Tsinghua, was very concerned after reading this article. He asked people around him who this Hua was. " . A teacher named Tang Peijing works in Tsinghua. This person is Hua's hometown. He talked to Xiong Qinglai about Hua's life experience. /kloc-one day in the autumn of 0/937, Xiong Qinglai sent someone to Beijing Railway Station with a signboard, put Tsinghua University in Hualuogeng Street and arranged for him to be an assistant in the library. Hua was only twenty-one years old at this time. Coming to work in Tsinghua is an important turning point in Hua's life, and his mathematics career really started here. In Tsinghua University, he works, studies and listens. His initial interest was the study of number theory, in which he was always encouraged by Xiong Qinglai. Xiong Qinglai's doctoral thesis at the University of Chicago was completed under the guidance of Leonard Dixon, who devoted himself to the Waring problem in the theory of heap prime numbers. Mathematicians in China made valuable contributions to mathematicians as early as 1300 years ago, including the bus triangle of binomial coefficients, the method of approaching polynomial roots, the skills of solving simultaneous equations of quartic equations, and China's residue theorem on congruence group solutions. However, it stopped in the Ming Dynasty. At the beginning of this century, mathematicians in China began to absorb the essence of western mathematics, inherit the tradition of ancient mathematicians, and began to publish papers. In the late 1920s, the number of papers increased gradually, first in the fields of number theory and difficult analysis. During his four years in Tsinghua University, Hua published more than a dozen papers on number theory and taught himself English, French and French. By the time he was 25, he had become an internationally renowned young scholar. One day, professors in Tsinghua got together to discuss whether Hua, who has no college degree, can be promoted to teaching assistant. At the meeting, some people were in favor and some were against it. Finally, the dean of Ye Li College made a summary. He said it was a good thing that Tsinghua made a fool of itself. Let's not be limited by seniority! In this way, Hua was quickly promoted from teaching assistant to teaching assistant and professor. Later, he was hired as a researcher by China Culture and Education Foundation. /kloc-in the summer of 0/936, he was sponsored by the association to study at Cambridge University in England. In Britain, Hua joined a famous group of number theorists. This group includes British mathematicians Harold Davenport, Hardy, Te Li Wood, German mathematicians Esterman and Hans Helborne. Most of Hua's work at Cambridge University is to study the theory of heap prime numbers. Heap prime theory involves decomposing an integer into the sum of some other integers. Waring problem is the most thoroughly studied problem in this discipline, in which the special number is the power of K. The problem is that for a given k, the smallest integer S is needed, which is called g(k), and the equation is n = x 1+x2+...+xs is solvable for every normal number n. 1909, one hundred after Waring. But its proof is inductive rather than constructive, so there is no need to give a clear upper bound of g(k). Since Hilbert, many famous mathematicians have devoted themselves to calculating g(k). For example, it is known that g(2)=4, that is to say, each integer can be expressed as the sum of squares of four integers or the sum of cubes of nine integers, and the number of four plus nine cannot be too small. For all k's, the attempt to find the explicit expression of g(k) failed. Although it is considered that for all positive integers K, except a few, there is g(k)=ak+a-a, where A is the largest integer not exceeding (3/2k). Because relatively small integers can sometimes be represented by special ones, they are included in some broader basic results. G(k) is defined as the smallest integer S in which the equation (1) can be solved for all sufficiently large n. Many efforts have been made to calculate or estimate G(k), and it is known that g (2) = 4,4.