Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON THE EXISTENCE OF p-ADIC ROOTS

  • Kim, Young-Hee (Division of General Education-Mathematics Kwangwoon University) ;
  • Choi, Jongsung (Division of General Education-Mathematics Kwangwoon University)
  • Received : 2014.09.03
  • Accepted : 2015.01.19
  • Published : 2015.05.15
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Abstract

In this paper, we give the condition for the existence of the q-th roots of p-adic numbers in $\mathbb{Q}_p$ with an integer $q{\geq}2$ and (p, q) = 1. We have the conditions for the existence of the fifth root and the seventh root of p-adic numbers in $\mathbb{Q}_p$, respectively.

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References

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Cited by

  1. NEWTON-RAPHSON METHOD FOR COMPUTING p-ADIC ROOTS vol.28, pp.4, 2015, https://doi.org/10.14403/jcms.2015.28.4.575