Iwasawa L-Functions and the Mysterious L-Invariant
نویسنده
چکیده
coming from the cokernels of the rst column. These are cyclic (pro-cyclic in the limit) and are generated by the image of q t. So, lim A(K t)=NA(K n;t) = ?=< (q t ; L t =K t) > where (q t ; L t =K t) is the norm residue symbol of q t for the extension L t =K t. We write Q t for the image of (q t ; L t =K t) under the isomorphism ? ! Z p induced by sending to 1. Note that although Q t is not canonically deened (it depends on the choice of the topological generator of ?), a diierent choice would not change the p-adic valuation of Q t. Thus, up to p-adic unit lim A(K t)=NA(K n;t) Q t. Using the compatibility condition 1, we nd Q t log p (q t)= log p (()).
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