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