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The Birch and Swinnerton-Dyer conjectural formula
 

Summary: The Birch and Swinnerton-Dyer
conjectural formula
for modular abelian varieties #
Amod Agashe
University of Texas, Austin
October 10, 2002
# These slides can be obtained from
http://www.ma.utexas.edu/users/amod/mymath.html
Abstract: The Birch and Swinnerton-Dyer con-
jectural formula relates a special value coming from
the L-function of an abelian variety A to certain
arithmetic invariants of A. We give a formula for the
ratio of this special value to the real volume of A
for certain quotients of J0(N), and give numerical
and theoretical evidence for the conjecture using this
formula.

The Birch and Swinnerton-Dyer
conjectural formula
Let

  

Source: Agashe, Amod - Department of Mathematics, Florida State University

 

Collections: Mathematics