A formal analogue of Hilbert’s Theorem 90

Coleman, R.

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

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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

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

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