The second moment of -functions at special points Academic Article uri icon

abstract

  • For a fixed SL(3, ℤ) Maass form φ, we consider the family of L-functions L(φ × uj, s) where uj runs over the family of Hecke-Maass cusp forms on SL(2, ℤ). We obtain an estimate for the second moment of this family of L-functions at the special points 1/2 + itj consistent with the Lindelöf 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 Lindelöf-consistent estimate for a sixth power moment of a family of GL(2) L-functions. © 2012 Springer-Verlag Berlin Heidelberg.

author list (cited authors)

  • Young, M. P.

citation count

  • 3

publication date

  • November 2012