Borel’s conjecture and the transcendence of the Iwasawa power series

Sun, Hae-Sang

doi:10.1090/S0002-9939-10-10287-1

Borel’s conjecture and the transcendence of the Iwasawa power series
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Proc. Amer. Math. Soc. 138 (2010), 1955-1963 Request permission

Abstract:

We deduce the transcendence of the Iwasawa power series from Borel’s conjecture, namely, the normality of the irrational algebraic $p$-adic integers.

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