The Method Of Trigonometrical Sums In The Theory Of Numbers
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The Method of Trigonometrical Sums in the Theory of Numbers
| Author | : I. M. Vinogradov |
| Publisher | : Courier Corporation |
| Total Pages | : 194 |
| Release | : 2013-10-30 |
| Genre | : Mathematics |
| ISBN | : 0486154521 |
This text investigates Waring's problem, approximation by fractional parts of the values of a polynomial, estimates for Weyl sums, distribution of fractional parts of polynomial values, Goldbach's problem, more. 1954 edition.
The Method of Trigonometrical Sums in the Theory of Numbers
| Author | : Ivan Matveevič Vinogradov (Mathématicien) |
| Publisher | : |
| Total Pages | : 180 |
| Release | : 1950 |
| Genre | : |
| ISBN | : |
The method of trigonometrical sums on the theory of numbers...
| Author | : Ivan Matveevich Vinogradov |
| Publisher | : |
| Total Pages | : |
| Release | : |
| Genre | : Number theory |
| ISBN | : |
Trigonometric Sums in Number Theory and Analysis
| Author | : Gennady I. Arkhipov |
| Publisher | : Walter de Gruyter |
| Total Pages | : 565 |
| Release | : 2008-08-22 |
| Genre | : Mathematics |
| ISBN | : 3110197987 |
The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradov ́s estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered in physics, mathematical statistics, and analysis, and in addition they present purely arithmetic results concerning the solvability of equations in integers.
