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

Author: Hae-Sang Sun
Journal: Proc. Amer. Math. Soc. 138 (2010), 1955-1963
MSC (2010): Primary 11K16, 11R23, 11R42
Published electronically: February 4, 2010
MathSciNet review: 2596029
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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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Additional Information

Hae-Sang Sun
Affiliation: Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, Republic of Korea

Received by editor(s): August 17, 2009
Received by editor(s) in revised form: September 15, 2009, and October 5, 2009
Published electronically: February 4, 2010
Additional Notes: The manuscript was prepared while the author was visiting Department of the Mathematics, Université de Caen. He thanks the department for their support and hospitality. He also thanks the referee for the valuable suggestions and corrections.
Communicated by: Ken Ono
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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