Additive Theory of Prime Numbers (Translations of Mathematical Monographs, 13, Band 13) - Softcover

Hua, L. K.

Softcover

ISBN 10: 0821849425 ISBN 13: 9780821849422

Verlag: American Mathematical Society, 2009

Inhaltsangabe

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. This is a reprint of the 1965 original. (MMONO/13.2)

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2009
• Sprache: Englisch
• ISBN 10: 0821849425
• ISBN 13: 9780821849422
• Einband: Taschenbuch
• Anzahl der Seiten: 190
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar