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- catalog abstract "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.".
- catalog contributor b1230483.
- catalog created "1965.".
- catalog date "1965".
- catalog date "1965.".
- catalog dateCopyrighted "1965.".
- catalog description "Bibliographical footnotes.".
- catalog description "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.".
- catalog extent "xiii, 190 p.".
- catalog hasFormat "Additive theory of prime numbers.".
- catalog isFormatOf "Additive theory of prime numbers.".
- catalog isPartOf "Translations of mathematical monographs ; v. 13".
- catalog issued "1965".
- catalog issued "1965.".
- catalog language "eng chi".
- catalog language "eng".
- catalog publisher "Providence, American Mathematical Society,".
- catalog relation "Additive theory of prime numbers.".
- catalog subject "Numbers, Prime.".
- catalog subject "QA246 .H813".
- catalog title "Additive theory of prime numbers, by L. K. Hua. [Translated from the Chinese by N. H. Ng]".
- catalog type "text".