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The law of quadratic reciprocity
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Classroom Contents
Primes and Knots - Akshay Venkatesh
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- 1 Intro
- 2 The fundamental metaphor
- 3 Producing many knots
- 4 Prime numbers and the factorization problem
- 5 Some examples
- 6 Statistics of prime factors
- 7 Producing tangles (collections of knots)
- 8 Linking of knots
- 9 Modular arithmetic
- 10 The analogy between square roots and linking
- 11 The law of quadratic reciprocity
- 12 Back to statistics
- 13 Recent developments
