Subconvexity for Twisted L-Functions on GL(3)×GL(2) and GL(3)
Abstract
Let φ be the symmetric-square lift of an SL2(Z) Hecke-Maass form. Let q be an odd
cube-free positive integer, and let χ be a primitive Dirichlet character modulo q such that χ
is not quadratic. Let f be an even Hecke-normalized Hecke-Maass newform of level dividing
q, central character χ2, and spectral parameter tf . In this thesis, we show the following
subconvexity bounds for twisted L-functions on GL(3) × GL(2) and GL(3):
L
(1
2, φ × f × χ
)
φ,tf , q 5
4 + ,
L
(1
2 + it, φ × χ
)
φ,t, q 5
8 + ,
(1)
for every > 0, where the dependence of the implied constants on tf , t are polynomial.
Citation
Ganguly, Soumendra (2023). Subconvexity for Twisted L-Functions on GL(3)×GL(2) and GL(3). Doctoral dissertation, Texas A&M University. Available electronically from https : / /hdl .handle .net /1969 .1 /200140.