Additive Theory of Prime Numbers (Translations of Mathematical Monographs : Vol 13) - Hardcover

L. K. Hua

Hardcover

ISBN 10: 0821815636 ISBN 13: 9780821815632

Publisher: American Mathematical Society, 1965

Synopsis

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1965
• ISBN 10: 0821815636
• ISBN 13: 9780821815632
• Binding: Hardcover
• Language: English
• Number of pages: 190