Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Vinogradov I.M. — Method of Trigonometrical Sums in the Theory of Numbers
Vinogradov I.M. — Method of Trigonometrical Sums in the Theory of Numbers

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Method of Trigonometrical Sums in the Theory of Numbers

Автор: Vinogradov I.M.

Аннотация:

Since the 1930s, the analytic theory of numbers has been transformed by the influence of I. M. Vinogradov. The Method of Trigonometrical Sums in the Theory of Numbers, which led to remarkable new results, testifies to its author's supreme ingenuity and to the effectiveness of his methods. Starting with a discussion of general lemmas, the text advances to an investigation of Waring's problem, including explorations of the singular series, the contribution of the basic intervals, and an estimate for G(n). Further topics include approximation by the fractional parts of the values of a polynomial, estimates for Weyl sums, the asymptotic formula in Waring's problem, the distribution of the fractional parts of the values of a polynomial, estimates for the simplest trigonometrical sums with primes, and Goldbach's problem. Recent research on the type of problems studied by Vinogradov indicates that his methods remain among the most powerful. This text will prove of enormous benefit to upper-level undergraduates and graduate students.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Нет и не будет

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 192

Добавлена в каталог: 24.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте