The p-Adic L-Functions of Modular Elliptic Curves

Massimo Bertolini and Henri Darmon

A chapter in Mathematics Unlimited — 2001 and Beyond, 2001, pp 109-170 from Springer

Abstract: Abstract The arithmetic theory of elliptic curves enters the new century with some of its major secrets intact. Most notably, the Birch and Swinnerton-Dyer conjecture, which relates the arithmetic of an elliptic curve to the analytic behaviour of its associated L-series, is still unproved in spite of important advances in the last decades, some of which are recalled in Chapter 1.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56478-9_7

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DOI: 10.1007/978-3-642-56478-9_7

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