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Number Theory and Its Applications in China
 
Number Theory and Its Applications in China
eBook ISBN:  978-0-8218-7665-7
Product Code:  CONM/77.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Number Theory and Its Applications in China
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Number Theory and Its Applications in China
eBook ISBN:  978-0-8218-7665-7
Product Code:  CONM/77.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 771988; 170 pp
    MSC: Primary 11;

    Of all modern mathematical forms, number theory is one of the earliest to be explored in China and is the one to which the Chinese have made their greatest contributions. Yan Wu-zhi first introduced number theory into China in the 1920s. Particularly influential in the field was Hua Loo-keng, who studied with G. H. Hardy and made significant contributions in the areas estimating complete exponential sums, Waring's problems, Tarry's problems, and Vinogradov's method. Interest in number theory continued to flourish following the founding of the People's Republic of China. The most noted accomplishments by Chinese mathematicians were focused on the solution of Goldbach's Conjecture and on the sieve method. Although the Cultural Revolution interrupted research in number theory for more than 10 years, the field is now growing in China. A number of universities now have advanced programs in the subject and a wide variety of topics, including the applications of number theory.

    This volume contains nine survey articles and three articles on current research. The collection emphasizes the accomplishments of Chinese number theorists during 1949-1979, a period when correspondence between China and other countries was discouraged. The collection is intended not only to survey the significant contributions of Chinese mathematicians, but also to reflect the latest developments and current state of research in number theory in China.

  • Table of Contents
     
     
    • Articles
    • Jing Run Chen and Cheng Biao Pan — Analytic number theory in China. I [ MR 973223 ]
    • Cheng Dong Pan, Cheng Biao Pan and Sheng Gang Xie — Analytic number theory in China. II [ MR 973224 ]
    • Yuan Wang — Number theoretic method in numerical analysis [ MR 973225 ]
    • Yuan Wang — Diophantine equations and Diophantine inequalities in algebraic number fields [ MR 973226 ]
    • Ding Yi Pei and Xu Ning Feng — Some results of modular forms [ MR 973227 ]
    • Qi Sun — Some results in the application of the number theory to digital signal processing and public-key systems [ MR 973228 ]
    • Qi Sun — Some results on Diophantine equations [ MR 973229 ]
    • Guang Shan Xu — Diophantine approximation and transcendental number theory [ MR 973230 ]
    • De Lang Li and Hong Wen Lu — Quadratic forms and Hermitian forms [ MR 973231 ]
    • Ming Chit Liu and Kai Man Tsang — Small prime solutions of linear equations and the exceptional set in Goldbach’s problem [ MR 973232 ]
    • K. F. Lai — On the relative trace formula [ MR 973233 ]
    • Yangbo Ye — Kloosterman integrals and base change [ MR 973234 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 771988; 170 pp
MSC: Primary 11;

Of all modern mathematical forms, number theory is one of the earliest to be explored in China and is the one to which the Chinese have made their greatest contributions. Yan Wu-zhi first introduced number theory into China in the 1920s. Particularly influential in the field was Hua Loo-keng, who studied with G. H. Hardy and made significant contributions in the areas estimating complete exponential sums, Waring's problems, Tarry's problems, and Vinogradov's method. Interest in number theory continued to flourish following the founding of the People's Republic of China. The most noted accomplishments by Chinese mathematicians were focused on the solution of Goldbach's Conjecture and on the sieve method. Although the Cultural Revolution interrupted research in number theory for more than 10 years, the field is now growing in China. A number of universities now have advanced programs in the subject and a wide variety of topics, including the applications of number theory.

This volume contains nine survey articles and three articles on current research. The collection emphasizes the accomplishments of Chinese number theorists during 1949-1979, a period when correspondence between China and other countries was discouraged. The collection is intended not only to survey the significant contributions of Chinese mathematicians, but also to reflect the latest developments and current state of research in number theory in China.

  • Articles
  • Jing Run Chen and Cheng Biao Pan — Analytic number theory in China. I [ MR 973223 ]
  • Cheng Dong Pan, Cheng Biao Pan and Sheng Gang Xie — Analytic number theory in China. II [ MR 973224 ]
  • Yuan Wang — Number theoretic method in numerical analysis [ MR 973225 ]
  • Yuan Wang — Diophantine equations and Diophantine inequalities in algebraic number fields [ MR 973226 ]
  • Ding Yi Pei and Xu Ning Feng — Some results of modular forms [ MR 973227 ]
  • Qi Sun — Some results in the application of the number theory to digital signal processing and public-key systems [ MR 973228 ]
  • Qi Sun — Some results on Diophantine equations [ MR 973229 ]
  • Guang Shan Xu — Diophantine approximation and transcendental number theory [ MR 973230 ]
  • De Lang Li and Hong Wen Lu — Quadratic forms and Hermitian forms [ MR 973231 ]
  • Ming Chit Liu and Kai Man Tsang — Small prime solutions of linear equations and the exceptional set in Goldbach’s problem [ MR 973232 ]
  • K. F. Lai — On the relative trace formula [ MR 973233 ]
  • Yangbo Ye — Kloosterman integrals and base change [ MR 973234 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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