Tables of Special Values

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


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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