Table of Contents

1 Front Matter; 2 Part I: The Prime Number Theorem; 3 1. Card Trick; 4 2. The Soil, the Crop; 5 3. The Prime Number Theorem; 6 4. On the Shoulders of Giants; 7 5. Riemann's Zeta Function; 8 6. The Great Fusion; 9 7. The Golden Key, and an Improved Prime Number Theorem; 10 8. Not Altogether Unworthy; 11 9. Domain Stretching; 12 10. A Proof and a Turning Point; 13 Part II: The Riemann Hypothesis; 14 11. Nine Zulu Queens Ruled China; 15 12. Hilber's Eighth Problem; 16 13. The Argument Ant and the Value Ant; 17 14. In the Grip of an Obsession; 18 15. Big Oh and Mobius Mu; 19 16. Climbing the Critical Line; 20 17. A Little Algebra; 21 18. Number Theory Meets Quantum Mechanics; 22 19. Turning the Golden Key; 23 20. The Riemann Operator and Other Approaches; 24 21. The Error Term; 25 22. Either It's True, or Else It Isn't; 26 Epilogue; 27 Notes; 28 Appendix: The Riemann Hypothesis in Song; 29 Picture Credits; 30 Index; 31 Pictures

About the Author

John Derbyshire