Tables of Special Values

  • Glenn Stevens
Part of the Progress in Mathematics book series (PM, volume 20)

Abstract

In the remaining pages we display three sets of tables of algebraic parts of special values of L-functions,
$$A\left( X \right) = \frac{{\pi \left( {\mathop X\limits^ -} \right)\;\;L\left( {f,X,l} \right)}}{{\Omega _f^{{\mathop{\rm sgn}} \left( X \right)}}}$$
Here χ denotes a primitive quadratic character of conductor mχ. In the first two sets of tables mχ is taken to be positive or negative depending on whether χ(−1) = sgn χ is plus or minus one. The modular form f ranges through the weight two parabolic eigenforms for the following modular curves:
  1. 1.

    X0 (N), N prime ≤ 43;

     
  2. 2.

    Genus one curves X0 (N), N = 14, 15, 20, 21, 24, 27, 32, 36, 49;

     
  3. 3.

    X1 (13).

     
The complex number \(\Omega _f^{{\mathop{\rm sgn}} \chi }\) is an appropriate period of f(z)dz on the corresponding modular curves.

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Copyright information

© Birkhäuser Boston 1982

Authors and Affiliations

  • Glenn Stevens
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

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