Abstract
Let $K/k$ be a finite Galois extension of local fields. To each class $\gamma = [c]$ in $H^1(\operatorname{Gal}(K/k), U_K)$, $U_K$ being the group of units of $K$, we associate an index $i_\gamma(K/k) = (M_c : P_c)$ after the model of Poincaré series and study its relation to the ramification theory of $K/k$.
Citation
Takashi Ono. "On Poincaré sums for local fields." Proc. Japan Acad. Ser. A Math. Sci. 79 (7) 115 - 118, Sept. 2003. https://doi.org/10.3792/pjaa.79.115
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