The Weyl Bound for Triple Product L-Functions

TY - JOUR

T1 - The Weyl Bound for Triple Product L-Functions

AU - Blomer, Valentin

AU - Jana, Subhajit

AU - Nelson, Paul D.

PY - 2023/4

Y1 - 2023/4

N2 - Let π 1, π 2, π 3 be three cuspidal automorphic representations for the group SL.2; Z/, where π 1 and π 2 are fixed and π 3 has large analytic conductor. We prove a subconvex bound for L.1=2; π 1 π 2 π 3/ of Weyl-type quality. Allowing π 3 to be an Eisenstein series, we also obtain a Weyl-type subconvex bound for L.1=2 C i t; π 1 π 2/.

AB - Let π 1, π 2, π 3 be three cuspidal automorphic representations for the group SL.2; Z/, where π 1 and π 2 are fixed and π 3 has large analytic conductor. We prove a subconvex bound for L.1=2; π 1 π 2 π 3/ of Weyl-type quality. Allowing π 3 to be an Eisenstein series, we also obtain a Weyl-type subconvex bound for L.1=2 C i t; π 1 π 2/.

UR - http://www.scopus.com/inward/record.url?scp=85161917295&partnerID=8YFLogxK

U2 - 10.1215/00127094-2022-0058

DO - 10.1215/00127094-2022-0058

M3 - Journal article

SN - 0012-7094

VL - 172

SP - 1173

EP - 1234

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 6

ER -