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Next: Arithmetic Geometry (Modular Forms) Up: Arithmetic Geometry Previous: Hyperelliptic Curves

L-Series


New Features:

  • Many new types of L-functions have been added, together with utility functions for working with them. The most prominent new L-functions are for Hecke characters, and Hecke Grössencharacters. These are important in the development of Tate's thesis.

  • The machinery for tensor products has been improved, so that they can be computed in more situations of arithmetic interest.

  • Complementary to tensor products are symmetric powers, which have been implemented in the simplest cases (for degree 1 L-functions), and for elliptic curves over the rationals. Although general machinery exists for symmetric powers, it is not yet very robust.

  • Utility functions that provide access to information associated with an L-functions, such as EulerFactor, have been added.

  • Internally, some of the computations with products of L-functions have also been changed.


Bug fixes:

  • A problem with TensorProduct with LSeries has been fixed. The ``weight'' of the tensor product should now be correct for GL(2) (for instance, when tensoring two elliptic curves, or more generally two modular forms).


next up previous
Next: Arithmetic Geometry (Modular Forms) Up: Arithmetic Geometry Previous: Hyperelliptic Curves

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