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Proceedings of the American Mathematical Society

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

 
 

 

$ p$-adic transcendental numbers


Author: Kumiko Nishioka
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
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Abstract: Explicit sets of cardinality $ {2^{{\aleph _0}}}$ of $ p$-adic numbers which are algebraically independent over $ {Q_p}$ are constructed.


References [Enhancements On Off] (What's this?)

  • [1] N. Koblitz, $ P$P-adic number theory, $ p$-adic analysis and zeta functions, G. T. M. Vol. 58, Springer-Verlag, New York, 1977.
  • [2] D. Lampert, Algebraic $ P$-adic expansions, J. Number Theory 23 (1986), 279-284. MR 846958 (87j:11130)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-0994783-3
Article copyright: © Copyright 1990 American Mathematical Society

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