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    3. Introduction to Algebraic Independence Theory (Repost)

    Introduction to Algebraic Independence Theory (Repost)

    Posted By: step778
    Date: 29 Nov 2018 06:20:07
    Introduction to Algebraic Independence Theory (Repost)

    Yuri V. Nesterenko, Patrice Philippon, F. Amoroso, "Introduction to Algebraic Independence Theory"
    2001 | pages: 251 | ISBN: 3540414967 | DJVU | 1,9 mb

    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.

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