Terence Tao- The Circle Method from the Perspective of Higher Order Fourier Analysis

Terence Tao- The Circle Method from the Perspective of Higher Order Fourier Analysis

Hausdorff Center for Mathematics via YouTube Direct link

Proof by identities

13 of 23

13 of 23

Proof by identities

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Classroom Contents

Terence Tao- The Circle Method from the Perspective of Higher Order Fourier Analysis

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  1. 1 Introduction
  2. 2 The circle method
  3. 3 Fourier analysis
  4. 4 Major and minor arcs
  5. 5 Problems with the circle method
  6. 6 Higher order Fourier analysis
  7. 7 Complexity
  8. 8 Identity
  9. 9 Revisiting the circle method
  10. 10 Finding the complexity of the problem
  11. 11 The lambda3 form
  12. 12 The inverse theorem
  13. 13 Proof by identities
  14. 14 Generalized nominal inequality
  15. 15 U2 identity
  16. 16 Structure theorem
  17. 17 Equidistribution theorem
  18. 18 Integer part operation
  19. 19 Bracket quadratic analysis
  20. 20 Equidistant theory
  21. 21 Heisenberg manifold
  22. 22 Group theory
  23. 23 Densification

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