Sums of Twisted Gl ( 3 ) Automorphic L-functions

  title={Sums of Twisted Gl ( 3 ) Automorphic L-functions},
  author={Daniel Bump and Solomon Friedberg and Jeffrey Hoffstein},
Let F be a number field and π be an automorphic representation on GLr (AF ). In this paper we consider weighted sums of quadratic twists of the L-function for π , ∑ d L(s, π, χd ) a(s, π, d) Nd −w , where χd is a quadratic character roughly attached to F( √ d)/F . We analyze the properties which the weights a(s, π, d) must satisfy if this is to satisfy a… CONTINUE READING