The second moment of GL(3) x GL(2)L-functions at special points Academic Article uri icon

abstract

  • For a fixed SL(3, ) Maass form , we consider the family of L-functions L( uj, s) where uj runs over the family of Hecke-Maass cusp forms on SL(2, ). We obtain an estimate for the second moment of this family of L-functions at the special points 1/2 + itj consistent with the Lindelf Hypothesis. We also obtain a similar upper bound on the sixth moment of the family of Hecke-Maass cusp forms at these special points; this is apparently the first occurrence of a Lindelf-consistent estimate for a sixth power moment of a family of GL(2) L-functions. 2012 Springer-Verlag Berlin Heidelberg.

published proceedings

  • MATHEMATISCHE ANNALEN

author list (cited authors)

  • Young, M. P.

citation count

  • 3

complete list of authors

  • Young, Matthew P

publication date

  • July 2013