On a question of Goss

Details On a question of Goss On a question of Goss

2008-08-29

arxiv.org/abs/0808.4069v1

Mathematics

Number Theory

Scientific paper

In this note we answer the question raised by D. Goss in [Applications of
non-Archimedean integration to the $L$-series of $\tau$-sheaves, {\em J. Number
Theory,} 110 (2005), no. 1, 83--113] by proving that the group of locally
analytic endomorphisms on the 1-units of a locally compact field of
characteristic $p>0$ is isomorphic to the $p$-adic integers.

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