One of the most famous results in the theory of modular forms is the Shimura Correspondence. This relates modular forms of half-integral weight to those of integral weight and gives the half-integer weight forms the structure of a Hecke module. An important result made possible by the discovery of this correspondence is the Kohnen-Zagier formula, which relates the central values of L functions to coefficients of half-integer weight cusp forms. In this talk I will present the basic theory necessary to state the Kohnen-Zagier formula and several applications of the Kohnen-Zagier formula in the literature. Time permitting I will give a proof sketch for this remarkable formula.
Talk by Clayton Williams