UNIFORM BOUNDS FOR
$\operatorname {GL}(3)\times \operatorname {GL}(2)$
L-FUNCTIONS
Bingrong Huang
Abstract:In this paper, we prove uniform bounds for
$\operatorname {GL}(3)\times \operatorname {GL}(2) \ L$
-functions in the
$\operatorname {GL}(2)$
spectral aspect and the t aspect by a delta method. More precisely, let
$\phi $
be a Hecke–Maass cusp form for
$\operatorname {SL}(3,\mathbb {Z})$
and f a Hecke–Maass cusp form for
$\operatorname {SL}(2,\mathbb {Z})$
with the… Show more
In this article, we will get nontrivial estimates for the central values of degree six Rankin–Selberg ‐functions associated with a form and a form using the delta symbol approach in the hybrid level and ‐aspect.
In this article, we will get nontrivial estimates for the central values of degree six Rankin–Selberg ‐functions associated with a form and a form using the delta symbol approach in the hybrid level and ‐aspect.
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