The main topics of the book are the critical values of Dirichlet Lfunctionsand Hecke Lfunctions of an imaginary quadratic field and various problems onelliptic ... » 

The main topics of the book are the critical values of Dirichlet Lfunctionsand Hecke Lfunctions of an imaginary quadratic field and various problems onelliptic modular forms. As to the values of Dirichlet Lfunctions all previouspapers and books reiterate a single old result with a single old method. Aftera review of elementry Fourier analysis we present completely new results withnew methods though old results will also be proved. No advanced knowledge ofnumber theory is required up to this point. As applications new formulas forthe second factor of the class number of a cyclotomic field will be given. Thesecond half of the book assumes familiarity with basic knowledge of modularforms. However all definitions and facts are clearly stated and precisereferences are to the determination of the critical values of Hecke Lfunctionsof an imaginary quadratic field. Other notable features of the book are 1some new results on classical Eisenstein series 2 the discussion ofisomorphism classes of ellitic curves with complex multiplication in connectionwith their zeta function and periods 3 a new class of holomorphicdifferential operators that send modular forms to those of a different weight. «