Twists of GL(3) L-functions

Subconvexity for twisted GL$_3$ $L$-functions

“…He achieves subconvexity in the t-aspect in [14] with δ = 1 16 and this exponent has recently been improved by Aggarwal [1] to δ = 3 40 . Using the GL 2 Petersson trace formulas as an expansion for the delta-symbol, Munshi [16] also succeeded in establishing δ = 1 308 for the χ-aspect. Inspired by this work, Holowinsky and Nelson [3] wrote the character as a weighted sum of exponentials and Kloosterman sums obtaining δ = 1 36 in the χ-aspect.…”