A formal analogue of Hilbert’s Theorem 90

Coleman, R.

doi:10.1090/S0002-9939-1985-0792269-0

Proceedings of the American Mathematical Society

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A formal analogue of Hilbert’s Theorem $90$
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by R. Coleman

Proc. Amer. Math. Soc. 94 (1985), 603-604

DOI: https://doi.org/10.1090/S0002-9939-1985-0792269-0

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Abstract:

We prove a theorem on $p$-adic analytic functions which formally resembles Hilbert’s Theorem 90 and which solves a problem originally proposed by Deligne and considered by Adolphson [A].

References

Alan Adolphson, An analogue of Hilbert’s Theorem 90, Proc. Amer. Math. Soc. 88 (1983), no. 1, 27–28. MR 691272, DOI 10.1090/S0002-9939-1983-0691272-7