Abstract
Let $G$ be a finite group acting on a ring $R$. To know the twisted Tate cohomology ${\hat{H}}^0(G,R^{+})_{\gamma}$ parametrized by $\gamma=[c]\in H^1(G,R^{\times})$ is a basic theme inspired by Poincaré. We shall consider this when $G$ is the Galois group of a Galois extension $K/k$ of number fields and $R$ is the ring of integers of $K$.
Citation
Takashi Ono. "On Poincaré sums for number fields." Proc. Japan Acad. Ser. A Math. Sci. 81 (4) 65 - 68, April 2005. https://doi.org/10.3792/pjaa.81.65
Information