Tamagawa number conjecture for zeta values

Details Tamagawa number conjecture for zeta values Tamagawa number conjecture for zeta values

2003-04-16

arxiv.org/abs/math/0304233v1

Proceedings of the ICM, Beijing 2002, vol. 2, 163--172

Mathematics

Number Theory

Scientific paper

Spencer Bloch and the author formulated a general conjecture (Tamagawa number
conjecture) on the relation between values of zeta functions of motives and
arithmetic groups associated to motives. We discuss this conjecture, and
describe some application of the philosophy of the conjecture to the study of
elliptic curves.

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