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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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참고문헌 (5)
참고문헌 신청
S. Katok / 2007 / p-Adic analysis compared with real / American Math. Soc.
N. Koblitz / 1984 / p-Adic numbers, p-adic analysis and zeta functions / Springer-Verlag
V. S. Vladimirov / 1994 / p-Adic analysis and mathe-matical physics / Norld Scientific
T. Zerzaihi / 2011 / Computation of the cubic root of a p-adic number / J. Math. Research 3(3):40~47
T. Zerzaihi / 2010 / Hensel codes of square roots of p-adic numbers / Appl. Anal. Discrete Math 4:32~44
N. Koblitz / 1984 / p-Adic numbers, p-adic analysis and zeta functions / Springer-Verlag
V. S. Vladimirov / 1994 / p-Adic analysis and mathe-matical physics / Norld Scientific
T. Zerzaihi / 2011 / Computation of the cubic root of a p-adic number / J. Math. Research 3(3):40~47
T. Zerzaihi / 2010 / Hensel codes of square roots of p-adic numbers / Appl. Anal. Discrete Math 4:32~44
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