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    Introduction to Algebraic Independence Theory

Introduction to Algebraic Independence Theory

Yuri V. Nesterenko
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      In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.
      Format: Paperback / softback CONTRIBUTORS: Yuri V. Nesterenko EAN: 9783540414964 COUNTRY: Germany PAGES: WEIGHT: 860 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG DATE PUBLISHED: 2001-01-18 CITY: GENRE: MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Number Theory WIDTH: 155 cm SPINE:

      Book Themes:

      Number theory, Algebraic geometry

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      In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.
      Format: Paperback / softback CONTRIBUTORS: Yuri V. Nesterenko EAN: 9783540414964 COUNTRY: Germany PAGES: WEIGHT: 860 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG DATE PUBLISHED: 2001-01-18 CITY: GENRE: MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Number Theory WIDTH: 155 cm SPINE:

      Book Themes:

      Number theory, Algebraic geometry

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