The second moment of $GL(3) \times GL(2)$ $L$-functions, integrated
Number Theory
2013-03-27 v2
Abstract
We consider the family of Rankin-Selberg convolution L-functions of a fixed SL(3, Z) Maass form with the family of Hecke-Maass cusp forms on SL(2, Z). We estimate the second moment of this family of L-functions with a "long" integration in t-aspect. These L-functions are distinguished by their high degree (12) and large conductors (of size T^{12}).
Keywords
Cite
@article{arxiv.0903.1575,
title = {The second moment of $GL(3) \times GL(2)$ $L$-functions, integrated},
author = {Matthew P. Young},
journal= {arXiv preprint arXiv:0903.1575},
year = {2013}
}
Comments
v1: 17 pages; v2: 24 pages, improved and expanded exposition