Tamagawa Number Conjecture for zeta Values
نویسنده
چکیده
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. 2000 Mathematics Subject Classification: 11G40.
منابع مشابه
On Equivariant Dedekind Zeta - Functions at s = 1 Dedicated to Professor Andrei Suslin
We study a refinement of an explicit conjecture of Tate concerning the values at s = 1 of Artin L-functions. We reinterpret this refinement in terms of Tamagawa number conjectures and then use this connection to obtain some important (and unconditional) evidence for our conjecture. 2010 Mathematics Subject Classification: 11R42, 11R33
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