3 - Farey Series and a Theorem of Minkowski

Table of contents

• 3.1 The Definition and Simplest Properties of a Farey Series
• 3.2 The Equivalence of the Two Characteristic Properties
• 3.3 First Proof of Theorems 28 and 29
• 3.4 Second Proof of the Theorems
• 3.5 The Integral Lattice
• 3.6 Some Simple Properties of the Fundamental Lattice
• 3.7 Third Proof of Theorems 28 and 29
• 3.8 The Farey Dissection of the Continuum
• 3.9 A Theorem of Minkowski
• 3.10 Proof of Minkowski’s Theorem
• 3.11 Developments of Theorem 37

3.1 The Definition and Simplest Properties of a Farey Series

3.2 The Equivalence of the Two Characteristic Properties

3.3 First Proof of Theorems 28 and 29

3.4 Second Proof of the Theorems

3.5 The Integral Lattice

3.6 Some Simple Properties of the Fundamental Lattice

3.7 Third Proof of Theorems 28 and 29

3.8 The Farey Dissection of the Continuum

3.9 A Theorem of Minkowski

3.10 Proof of Minkowski’s Theorem

3.11 Developments of Theorem 37