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Trigonometric sums in number theory and analysis

By: Contributor(s): Material type: TextTextLanguage: English Series: De gruyter expositions in mathematics ; 39Publication details: Berlin Walter de Gruyter 2004Description: x, 554pISBN:
  • 9783110162660 (HB)
Subject(s): Summary: 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.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.32 ARK (Browse shelf(Opens below)) Available 63139

Includes index

Includes bibliography (p. 540 - 551)

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.

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The Institute of Mathematical Sciences, Chennai, India