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A Conjecture About Nonvanishing of Twists

We state a conjecture about nonvanishing at

of certain prime-degree twists of the

-function attached to an elliptic curve, provide extensive computational evidence for the conjecture, and give an example which suggests that vanishing twists are very rare.

Subsections

The Conjecture
Computational Evidence for the Conjecture
The Density

William A Stein 2002-02-27