Introduction to algebraic independence theory / Yuri V. Nesterenko, Patrice Philippon (eds.) ; with contributions from F. Amoroso ... [and others].

Format:

Book

Contributor:

Nesterenko, I︠U︡. V. (I︠U︡riĭ Valentinovich)

Philippon, Patrice, 1954-

Series:

Lecture notes in mathematics (Springer-Verlag) ; 1752.

Lecture notes in mathematics, 0075-8434 ; 1752

Language:

English

Subjects (All):

Algebraic independence.

Physical Description:

xiii, 256 pages ; 24 cm.

Place of Publication:

Berlin ; New York : Springer, [2001]

Summary:

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.

Notes:

Includes bibliographical references and index.

ISBN:

3540414967

OCLC:

45743051