Additive Theory of Prime Numbers is popular PDF and ePub book, written by Luogeng Hua in 2009-12-04, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Additive Theory of Prime Numbers can be Read Online from any device for your convenience.
Additive Theory of Prime Numbers Book PDF Summary
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.
Detail Book of Additive Theory of Prime Numbers PDF
- Author : Luogeng Hua
- Release : 04 December 2009
- Publisher : American Mathematical Soc.
- ISBN : 9780821849422
- Genre : Mathematics
- Total Page : 206 pages
- Language : English
- PDF File Size : 14,7 Mb
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