Additive Theory of Prime Numbers

· Translations of Mathematical Monographs Книга 13 · American Mathematical Soc.
Π•-ΠΊΠ½ΠΈΠ³Π°
190
Π‘Ρ‚Ρ€Π°Π½ΠΈΡ†ΠΈ
ΠžΡ†Π΅Π½ΠΈΡ‚Π΅ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈΡ‚Π΅ Π½Π΅ сС ΠΏΠΎΡ‚Π²Ρ€Π΄Π΅Π½ΠΈ Β Π”ΠΎΠ·Π½Π°Ρ˜Ρ‚Π΅ повСќС

Π—Π° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

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.

ΠžΡ†Π΅Π½Π΅Ρ‚Π΅ ја Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

ΠšΠ°ΠΆΠ΅Ρ‚Π΅ Π½ΠΈ ΡˆΡ‚ΠΎ мислитС.

Π˜Π½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΈ Π·Π° Ρ‡ΠΈΡ‚Π°ΡšΠ΅

ΠŸΠ°ΠΌΠ΅Ρ‚Π½ΠΈ Ρ‚Π΅Π»Π΅Ρ„ΠΎΠ½ΠΈ ΠΈ Ρ‚Π°Π±Π»Π΅Ρ‚ΠΈ
Π˜Π½ΡΡ‚Π°Π»ΠΈΡ€Π°Ρ˜Ρ‚Π΅ ја Π°ΠΏΠ»ΠΈΠΊΠ°Ρ†ΠΈΡ˜Π°Ρ‚Π° Google Play Books Π·Π° Android ΠΈ iPad/iPhone. Автоматски сС синхронизира со смСтката ΠΈ Π²ΠΈ ΠΎΠ²ΠΎΠ·ΠΌΠΎΠΆΡƒΠ²Π° Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ онлајн ΠΈΠ»ΠΈ ΠΎΡ„Π»Π°Ρ˜Π½ ΠΊΠ°Π΄Π΅ ΠΈ Π΄Π° стС.
Π›Π°ΠΏΡ‚ΠΎΠΏΠΈ ΠΈ ΠΊΠΎΠΌΠΏΡ˜ΡƒΡ‚Π΅Ρ€ΠΈ
МоТС Π΄Π° ΡΠ»ΡƒΡˆΠ°Ρ‚Π΅ Π°ΡƒΠ΄ΠΈΠΎΠΊΠ½ΠΈΠ³ΠΈ ΠΊΡƒΠΏΠ΅Π½ΠΈ ΠΎΠ΄ Google Play со ΠΊΠΎΡ€ΠΈΡΡ‚Π΅ΡšΠ΅ Π½Π° Π²Π΅Π±-прСлистувачот Π½Π° ΠΊΠΎΠΌΠΏΡ˜ΡƒΡ‚Π΅Ρ€ΠΎΡ‚.
Π•-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ ΠΈ Π΄Ρ€ΡƒΠ³ΠΈ ΡƒΡ€Π΅Π΄ΠΈ
Π—Π° Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΈ со Π΅-мастило, ΠΊΠ°ΠΊΠΎ ΡˆΡ‚ΠΎ сС Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈΡ‚Π΅ Kobo, ќС Ρ‚Ρ€Π΅Π±Π° Π΄Π° ΠΏΡ€Π΅Π·Π΅ΠΌΠ΅Ρ‚Π΅ Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠ° ΠΈ Π΄Π° ја ΠΏΡ€Π΅Ρ„Ρ€Π»ΠΈΡ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΎΡ‚. Π‘Π»Π΅Π΄Π΅Ρ‚Π΅ Π³ΠΈ Π΄Π΅Ρ‚Π°Π»Π½ΠΈΡ‚Π΅ упатства Π²ΠΎ Π¦Π΅Π½Ρ‚Π°Ρ€ΠΎΡ‚ Π·Π° помош Π·Π° ΠΏΡ€Π΅Ρ„Ρ€Π»Π°ΡšΠ΅ Π½Π° Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠΈΡ‚Π΅ Π½Π° ΠΏΠΎΠ΄Π΄Ρ€ΠΆΠ°Π½ΠΈ Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ.

Π”Ρ€ΡƒΠ³ΠΈ ΠΎΠ΄ ΡΠ΅Ρ€ΠΈΡ˜Π°Ρ‚Π°

ПовСќС од Luogeng Hua

Π‘Π»ΠΈΡ‡Π½ΠΈ Π΅-ΠΊΠ½ΠΈΠ³ΠΈ