Oscillations of Quadratic L-Functions

  • R. C. Baker
  • Hugh L. Montgomery
Part of the Progress in Mathematics book series (PM, volume 85)


All real non-principal characters are of the form \( XD\left( n \right) = \left( {\frac{D}{n}} \right) \) where D belongs to the set Q of quadratic discriminants, Q={D : D is not a square and D ≡ 0 or 1 (mod 4)}.


Chinese Remainder Theorem Quadratic Residue Acta Arith Real Character Asymptotic Density 
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Copyright information

© Bikhäuser Boston 1990

Authors and Affiliations

  • R. C. Baker
    • 1
  • Hugh L. Montgomery
    • 2
  1. 1.Royal Holloway and Bedford New CollegeEgham, SurreyEngland, UK
  2. 2.Department of MathematicsUniversity of MichiganAnn ArborUSA

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