Introduction to Algebraic Independence Theory

260 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540414964
• Sprache: Englisch
• Erscheinungsdatum: 18.01.2001
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin
• Beiträge von: F. Amoroso
• Beiträge von: Yuri V. Nesterenko, Patrice Philippon, D. Bertrand, W.D. Brownawell, G. Diaz, M. Laurent, Yu.V. Nesterenko, K. Nishioka, P. Philippon, G. Remond, D. Roy, M. Waldschmidt