Diophantine Equations and Inequalities in Algebraic Number Fields

by Yuan Wang and Sandro Etalle Stephen Marsh

Book Overview

1. The Circle Method and Waring's Problem.- 1.1 Introduction.- 1.2 Farey Division.- 1.3 Auxiliary Lemmas.- 1.4 Major Arcs.- 1.5 Singular Integral.- 1.6 Singular Series.- 1.7 Proof of Lemma 1.12.- 1.8 Proof of Theorem 1.1.- Notes.- 2. Complete Exponential Sums.- 2.1 Introduction.- 2.2 Several Lemmas.- 2.3 Mordell's Lemma.- 2.4 Fundamental Lemma.- 2.5 Proof of Theorem 2.1.- 2.6 Proof of Theorem 2.2.- Notes.- 3. Weyl's Sums.- 3.1 Introduction.- 3.2 Proof...

• Format: Hardcover
• Language: English
• ISBN: 3540520198
• ISBN13: 9783540520191
• Release Date: March 1991
• Publisher: Springer
• Length: 192 Pages
• Weight: 1.12 lbs.
• Dimensions: 0.5" x 6.7" x 9.6"