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Questions tagged [p-adic-numbers]

The p-adic number system for any prime number p extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems

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Is this submonoid of the isometry group on $\Bbb Q_2$ closed to inverses? [closed]

Let $\textrm{aff}(ax+b)$ be the affine group on $\Bbb Z_2^\times$ i.e. the set of linear polynomials over 2-adic numbers with $a\in\Bbb Z_2^\times, b\in\Bbb Z_2$ Now let $X$ be the restriction of its ...
Robert Frost's user avatar
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2 answers
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Converting p-adic to decimal [closed]

Is it possible to convert irrational p-adic numbers to a standard number? Rationals and negative rationals are relatively straightforward, but is there a way to know that for instance $\ldots ...
law-of-fives's user avatar
-2 votes
2 answers
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How do you prove that the series 5, 25, 625, ... can be continued forever to give a 10-adic solution to $n^2=n$? [closed]

How do you prove that the series 5, 25, 625, ... can be continued forever to give a 10-adic solution to $n^2=n$? Here's a proof for a different solution (...1787109376): https://oeis.org/A018248/...
Tony Phillips's user avatar

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