Moments;
Automorphic L -functions;
Voronoi formula;
Congruence subgroup;
D O I:
10.1016/j.jnt.2022.08.006
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We investigate the sixth moment of the family of L-functions associated to holomorphic modular forms on GL2 with respect to a congruence subgroup Gamma 1(q). We improve on previous work and obtain an unconditional upper bound of the correct order of magnitude.(c) 2022 Elsevier Inc. All rights reserved.
机构:
St. Petersburg Department of the Steklov Mathematical Institute, St. PetersburgSt. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg