Lectures related to Multiplication theorem

Explores transfer operators, Patterson-Sullivan measure, FUP, spectral gaps, and resonances in Schottky groups.

Explores the existence of primes in arithmetic progressions and the properties of the Euler gamma function.

Explores Schottky groups, spectral gaps, and the Fractal Uncertainty Principle.

Covers the proof of non-vanishing of Quadratic Dirichlet L-function and reviews basic properties of Gamma function.

Covers the Dedekind function, Euler product formula, series convergence, and analytic continuation of logarithmic functions.