| Trigonometric Sums in Number Theory and Analysis Contributor(s): Arkhipov, Gennady I. (Author), Chubarikov, Vladimir N. (Author), Karatsuba, Anatoly A. (Author) |
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ISBN: 3110162660 ISBN-13: 9783110162660 Publisher: de Gruyter OUR PRICE: $351.50 Product Type: Hardcover - Other Formats Published: November 2004 |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Algebra - General - Mathematics | Mathematical Analysis |
| Dewey: 512.7 |
| LCCN: 2004021280 |
| Physical Information: 1.34" H x 7.06" W x 9.62" (2.32 lbs) 564 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |