Number Theory Seminar

Samit Dasgupta has proved that $p$-adic $L$-function associated to the tensor square of a p-ordinary eigenform factors as the product of the symmetric square p-adic L-function of the form with a Kubota-Leopoldt p-adic L-function. In this talk, I plan to explain the strategies, how to generalize the factorization into three variable cases of $p$-adic $L$-function of $f \otimes g \otimes g$ where $f,g$ are $p$-ordinary eigenforms.

This is joint work with Carlos de Vera Piquero.