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Aug 5, 2014 at 17:06 comment added Ben Wieland Instead of setting the Tamagawa number of $\mathbb G_m$ to 1, it is probably better to leave it infinite, but declare it a pole with residue 1. Then this formulation covers not just the BSD leading term, but also the order of vanishing.
Jul 30, 2014 at 16:59 history answered Ben Wieland CC BY-SA 3.0