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

Abstract

A version of the extra-zero conjecture, formulated by the first named author, is proved for p p -adic L L -functions associated with Rankin–Selberg convolutions of modular forms of the same weight. This result provides an evidence in support of this conjecture in the noncritical case, which remained essentially unstudied.