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Additive Theory of Prime Numbers
     

Additive Theory of Prime Numbers

by L. K. Hua
 

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ISBN-10: 0821849425

ISBN-13: 9780821849422

Pub. Date: 12/04/2009

Publisher: American Mathematical Society

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

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.

Product Details

ISBN-13:
9780821849422
Publisher:
American Mathematical Society
Publication date:
12/04/2009
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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