by G. Mussardo (2 credits)
Syllabus
- Prime suspects
- Problem with the spectra
- Spectral functions
- Semi-classical approximation
- Truncated Hilbert Space Approach
- Supersymmetric Quantum Mechanics
- Isospectral potentials
- Inverse Scattering Method
- Potential whose spectrum is made of all and only primes
- Distribution of primes and randomness
- Dirichlet characters
- L-Dirichlet functions as Partition Functions
- Functional Equations and Duality
- Random Walk and Generalised Riemann Hypothesis
