Subconvexity for $GL_{3}(R)$ $L$-Functions: The Key Identity via Integral Representations

Bounds for twists of GL(3) $L$-functions

“…For subconvexity bounds on GL(3) in other aspects or over more general number fields, see [3,4,13,34,35,39,40]. Recently, Schumacher [36] has been able to provide another interpretation of the methods that we follow, at least in the t-aspect case, from the perspective of integral representations under the framework of Michel-Venkatesh [21], and he produces the same bound (1). Aggarwal [1], who revisited Munshi's work in [28] by removing the "conductor lowering" trick, was able to improve the exponent of saving in the t-aspect case to 3/40.…”

Subconvexity for $L$-Functions on $\mathrm{GL}_3$ over Number Fields

“…For subconvexity results for GL 3 over Q without the self-dual assumption, we refer the reader to the papers of Munshi,Holowinsky,Nelson,Yongxiao Lin,et. al.,[Mun1,Mun2,Mun3,Mun4,HN,Lin,SZ,Agg,Sha,LS,Sch].…”