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Additive Theory of Prime Numbers

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Brand new. We distribute directly for the publisher. Loo-Keng Hua was a master mathematician, best known for his work using analytic methods in number theory. In particular, Hua ... is remembered for his contributions to Waring's Problem and his estimates of trigonometric sums. Additive Theory of Prime Numbers is an exposition of the classic methods as well as Hua's own techniques, many of which have now also become classic. An essential starting point is Vinogradov's mean-value theorem for trigonometric sums, which Hua usefully rephrases and improves. Hua states a generalized version of the Waring-Goldbach problem and gives asymptotic formulas for the number of solutions in Waring's Problem when the monomial $x^k$ is replaced by an arbitrary polynomial of degree $k$. The book is an excellent entry point for readers interested in additive number theory. It will also be of value to those interested in the development of the now classic methods of the subject. Read more Show Less

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2010 Paperback New Book New and in stock. 6/15/2010. *****PLEASE NOTE: This item is shipping from an authorized seller in Europe. In the event that a return is necessary, you ... will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** Read more Show Less

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Overview

Loo-Keng Hua was a master mathematician, best known for his work using analytic methods in number theory. In particular, Hua is remembered for his contributions to Waring's Problem and his estimates of trigonometric sums. Additive Theory of Prime Numbers is an exposition of the classic methods as well as Hua's own techniques, many of which have now also become classic. An essential starting point is Vinogradov's mean-value theorem for trigonometric sums, which Hua usefully rephrases and improves. Hua states a generalized version of the Waring-Goldbach problem and gives asymptotic formulas for the number of solutions in Waring's Problem when the monomial $x^k$ is replaced by an arbitrary polynomial of degree $k$. The book is an excellent entry point for readers interested in additive number theory. It will also be of value to those interested in the development of the now classic methods of the subject.

Read More Show Less

Product Details

  • ISBN-13: 9780821849422
  • Publisher: American Mathematical Society
  • Publication date: 12/4/2009
  • Series: MMONO , #13
  • Edition description: Reprint
  • Pages: 190
  • Product dimensions: 7.00 (w) x 9.90 (h) x 0.50 (d)

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