L-invariants arising from p-adic measures of Sym^2E, by Daniel Delbourgo

We construct a "total" p-adic L-function for the symmetric square of a modular elliptic curve over Q, parametrized by the Dieudonne module associated to the p-adic realisation. By following Perrin-Riou's theory in the crystalline case, we obtain formulae for the derivatives of all three component L-functions.

Daniel Delbourgo <dd@maths.nott.ac.uk>