Description
Abstract: We will construct twisted triple product p-adic L-functions and discuss its trivial or non-trivial zeros at the center of the functional equation.
In the split and +1 sign case we will determine the trivial zeros of cyclotomic p-adic L-functions associated to three ordinary elliptic curves and identify the double or triple derivatives of the p-adic L-function with the product of the algebraic part of central L-values and suitable L-invariants.
If time permits, we will formulate the p-adic Gross-Zagier formula in the -1 sign case.
This is a joint work with Ming-Lun Hsieh.
