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24 - Geometry of Numbers

Table of contents

  • 24.1 Introduction and Restatement of the Fundamental Theorem
  • 24.2 Simple Applications
  • 24.3 Arithmetical Proof of Theorem 448
  • 24.4 Best Possible Inequalities
  • 24.5 The Best Possible Inequality for \xi^2 + \eta^2
  • 24.6 The Best Possible Inequality for |\xi\eta|
  • 24.7 A Theorem Concerning Non-Homogenous Forms
  • 24.8 Arithmetical Proof of Theorem 455
  • 24.9 Tchebotaref’s Theorem
  • 24.10 A Converse of Minkowski’s Theorem 466

24.1 Introduction and Restatement of the Fundamental Theorem

24.2 Simple Applications

24.3 Arithmetical Proof of Theorem 448

24.4 Best Possible Inequalities

24.5 The Best Possible Inequality for ξ2+η2

24.6 The Best Possible Inequality for ∣ξη∣

24.7 A Theorem Concerning Non-Homogenous Forms

24.8 Arithmetical Proof of Theorem 455

24.9 Tchebotaref’s Theorem

24.10 A Converse of Minkowski’s Theorem 466


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