On extra-zeros of p-adic Rankin-Selberg L-functions

Abstract

We prove a version of the Extra-zero conjecture formulated by the first named author for p-adic L-functions associated to Rankin-Selberg convolutions of modular forms of the same weight. The novelty of this result is to provide strong evidence in support of this conjecture in the non-critical case, which remained essentially unstudied.

59 pages

Cited by in corpus (2)

• Interpolation of Beilinson-Kato elements and $p$-adic $L$-functions
• The derivative formula of $p$-adic $L$-functions for imaginary quadratic fields at trivial zeros