Additive Theory of Prime Numbers

Additive Theory of Prime Numbers
By:Luogeng Hua
Published on 2009-12-04 by American Mathematical Soc.

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.

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Book which was published by American Mathematical Soc. since 2009-12-04 have ISBNs, ISBN 13 Code is 9780821849422 and ISBN 10 Code is 0821849425

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