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Part of the Progress in Mathematics book series (PM, volume 157)

Abstract

In [Iw], Iwaniec considers a weighted sum
$$ \sum\limits_{D} {{\mu ^{2}}\left( D \right){{L'}_{D}}\left( {1,f} \right)F\left( {D/Y} \right)}$$
where F is a smooth function, compactly supported in ℝ+ with positive mean value. He establishes an asymptotic formula for it of the form
$$ \alpha Y{\text{ }}\log Y{\text{ }} + {\text{ }}\beta Y{\text{ }} + {\text{ }}0({Y^{\tfrac{{13}}{{14}} + \varepsilon }})$$
with some constants α ≠ 0 and β which depend on f and the test function F.

Keywords

Dirichlet Character Automorphic Representation Cuspidal Automorphic Representation Critical Strip Fundamental Discriminant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 1997

Authors and Affiliations

  1. 1.Department of MathematicsQueen’s UniversityKingstonCanada
  2. 2.Department of MathematicsUniversity of TorontoTorontoCanada

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