Twisted moments of automorphic L-functions
نویسندگان
چکیده
منابع مشابه
Twisted Moments of Automorphic L-functions
We study the moments of the symmetric power L-functions of primitive forms at the edge of the critical strip twisted by the square of the value of the standard L-function at the center of the critical strip. We give a precise expansion of the moments as the order goes to infinity. CONTENTS
متن کاملIntegral Moments of Automorphic L–functions
We obtain second integral moments of automorphic L–functions on adele groups GL2 over arbitrary number fields, by a spectral decomposition using the structure and representation theory of adele groups GL1 and GL2. This requires complete reformulation of the notion of Poincaré series, replacing the collection of classical Poincaré series over GL2(Q) or GL2(Q(i)) with a single, coherent, global o...
متن کاملSums of Twisted Gl ( 3 ) Automorphic L - Functions
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 (certain, non-abelian) group of function...
متن کاملHigher Integral Moments of Automorphic L-functions in Short Intervals
We consider the higher integral moments for automorphic L-functions in short intervals and give a proof for the conjecture of Conrey et al. under Generalized Riemann Hypothesis for automorphic L-function.
متن کاملScattering Theory for Twisted Automorphic Functions
The purpose of this paper is to develop a scattering theory for twisted automorphic functions on the hyperbolic plane, defined by a cofinite (but not cocompact) discrete group Γ with an irreducible unitary representation ρ and satisfying u(γz) = ρ(γ)u(z). The Lax-Phillips approach is used with the wave equation playing a central role. Incoming and outgoing subspaces are employed to obtain corre...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2010
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2010.04.009