Introduction to Algebraic Independence Theory

Introduction to Algebraic Independence Theory edited by Yuri V. Nesterenko, Patrice Philippon.

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 algebrai...

Full description

Saved in:
Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Nesterenko, Yuri V. (Editor), Philippon, Patrice (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
Edition:1st ed. 2001.
Series:Lecture Notes in Mathematics, 1752
Springer eBook Collection.
Subjects:
Number theory.
Algebraic geometry.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • ?(?, z) and Transcendence
  • Mahler’s conjecture and other transcendence Results
  • Algebraic independence for values of Ramanujan Functions
  • Some remarks on proofs of algebraic independence
  • Elimination multihomogene
  • Diophantine geometry
  • Géométrie diophantienne multiprojective
  • Criteria for algebraic independence
  • Upper bounds for (geometric) Hilbert functions
  • Multiplicity estimates for solutions of algebraic differential equations
  • Zero Estimates on Commutative Algebraic Groups
  • Measures of algebraic independence for Mahler functions
  • Algebraic Independence in Algebraic Groups. Part 1: Small Transcendence Degrees
  • Algebraic Independence in Algebraic Groups. Part II: Large Transcendence Degrees
  • Some metric results in Transcendental Numbers Theory
  • The Hilbert Nullstellensatz, Inequalities for Polynomials, and Algebraic Independence.

Similar Items