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On the Riemann Zeta-Function, Fourier Optimization and Quadratic Forms

On the Riemann Zeta-Function, Fourier Optimization and Quadratic Forms

ICTP Mathematics via YouTube Direct link

Intro

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Intro

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On the Riemann Zeta-Function, Fourier Optimization and Quadratic Forms

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  1. 1 Intro
  2. 2 Fourier transform
  3. 3 The zeros of the Riemann zeta-function
  4. 4 Pair correlation: the finer vertical distribution of zeros
  5. 5 Selberg's central limit theorem
  6. 6 Number variance of zeta zeros
  7. 7 Berry's conjecture
  8. 8 Fermat, Euler and beyond!
  9. 9 Congruence sums: a variation of the ellipse problem

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