1.Elliptic functions. 2.The modular group and modular functions. 3.The Dedekind eta functions. 4.Congruence’s for the coefficients of the modular functions j. 5.Rademoche’s series the partition functions. 6.Modular forms with multiplicative coefficients. 7.Kronecker’s theorem appliations. 8.General Dirichlet series and Bohr’s equivalence theorem.