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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)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$p$-adic transcendental numbers
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by Kumiko Nishioka PDF
Proc. Amer. Math. Soc. 108 (1990), 39-41 Request permission

Abstract:

Explicit sets of cardinality ${2^{{\aleph _0}}}$ of $p$-adic numbers which are algebraically independent over ${Q_p}$ are constructed.
References
    N. Koblitz, $P$P-adic number theory, $p$-adic analysis and zeta functions, G. T. M. Vol. 58, Springer-Verlag, New York, 1977.
  • David Lampert, Algebraic $p$-adic expansions, J. Number Theory 23 (1986), no. 3, 279–284. MR 846958, DOI 10.1016/0022-314X(86)90073-9
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 108 (1990), 39-41
  • MSC: Primary 11J61; Secondary 11S15
  • DOI: https://doi.org/10.1090/S0002-9939-1990-0994783-3
  • MathSciNet review: 994783