| In this thesis a Gross-Zagier formula is proved for the central critical values of certain Rankin L-functions. These L-functions are the L-functions associated with a Hilbert new form f of even integral weight 2k (k ≥ 1) over a totally real field F, twisted by an anticyclotomic character of an imaginary quadratic extension K of F. The formula expresses the central value as a positive multiple of a certain height of Heegner divisors on a curve, where the curve is obtained from an explicitly constructed inner form G of GL2. The formula gives some interpolation property of the p-adic L-functions constructed by Bertolini and Darmon in the anticyclotomic setting. |
