1. Gauss and Jacobi sums.
2. Cubic and biquadratic reciprocity.
3. Zeta function of projective hypersurface.
4. Dedekind zeta function, polar density of a the set of primes.
5. Class number formula.
Gauss and Jacobi sums, cubic and biquadratic reciprocity, zeta function of projective hypersurface, Dedekind zeta function, polar density of a the set of primes, class number formula.