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Birch and Swinnerton-Dyer conjecture

Contents

Idea

The Birch and Swinnerton-Dyer conjecture is a conjecture about the form of the first non-vanishing derivative of the Hasse-Weil L-function of an elliptic curve at s=1s= 1, expressed in terms of a higher regulator, analogous to the class number formula for a Dedekind zeta function.

This is hence a conjecture about special values of L-functions. It influenced the more far-reaching Beilinson conjectures.

References

Last revised on July 15, 2018 at 10:43:48. See the history of this page for a list of all contributions to it.