@article{53190,
  abstract     = {{We prove new congruences between special values of Rankin-Selberg
$L$-functions for $\mathrm{GL}(n+1)\times\mathrm{GL}(n)$ over arbitrary number
fields. This allows us to control the behavior of $p$-adic $L$-functions under
Tate twists and to prove the existence of non-abelian $p$-adic $L$-functions
for Hida families on $\mathrm{GL}(n+1)\times\mathrm{GL}(n)$. As an application,
we prove strong non-vanishing results for central $L$-values: We give
sufficient local conditions for twisted central Rankin-Selberg $L$-values to be
generically non-zero.}},
  author       = {{Januszewski, Fabian}},
  issn         = {{0002-9327}},
  journal      = {{American Journal of Mathematics}},
  number       = {{2}},
  pages        = {{495--578}},
  publisher    = {{Johns Hopkins University, Johns Hopkins University Press}},
  title        = {{{Non-abelian $p$-adic Rankin-Selberg $L$-functions and non-vanishing of  central $L$-values}}},
  volume       = {{146}},
  year         = {{2024}},
}