Introduction to Algebraic Independence Theory

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.

Dettagli sul prodotto

• Con la collaborazione di: Yuri V. Nesterenko (Editore), Patrice Philippon (Editore)
• Editore: Springer, Berlin
• Lingue: Inglese
• Contenuto: Libro
• Forma del prodotto: Tascabile
• Data pubblicazione: 18.01.2001
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra
• EAN: 9783540414964
• ISBN: 978-3-540-41496-4
• Numero di pagine: 260
• Illustrazioni: XVI, 260 p.
• Dimensioni (della confezione): 15.8 x 23.2 x 1.7 cm
• Peso (della confezione): 440 g
• Serie: Lecture Notes in Mathematics > 1752
• Categorie: B, Algebraische Geometrie, Mathematics and Statistics, Elimination, Algebraic Geometry, Number Theory, Commutative algebra, Transcendence, modular form, algebraic group, modular forms, multiplicity estimates