On the Tamagawa number conjecture for modular forms twisted by anticyclotomic Hecke characters · arXivDeskAbstract
Let f∈S2r(Γ0(N)) be a normalized newform of weight 2r which is good at
. Let
be an imaginary quadratic field of class number one in which every prime divisor of
splits. Let
be an anticyclotomic Hecke character of
which is crystalline at the primes above
and such that
L(f,χ,r)=0 . We prove that the Tamagawa number conjecture for the critical value
follows from the Iwasawa main conjecture for the Bertolini-Darmon-Prasanna
-adic
-function.