The second moment of GL(3) x GL(2) L-functions, integrated Academic Article

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 T12). 2010 Elsevier Inc.

authors

• Young, Matthew

published proceedings

• ADVANCES IN MATHEMATICS

author list (cited authors)

• Young, M. P.

citation count

• 8

complete list of authors

• Young, Matthew P

publication date

• January 2011

publisher

• Elsevier  Publisher

published in

• Advances in Mathematics  Journal

keywords

• Automorphic Forms
• Kuznetsov Formula
• L-functions
• Maass Forms
• Moments
• Spectral Large Sieve
• Voronoi Formula

Digital Object Identifier (DOI)

• 10.1016/j.aim.2010.10.021

start page

• 3550

end page

• 3578

volume

• 226

issue

• 4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.aim.2010.10.021