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Results tagged with p-adic-numbers
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user 109563
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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lowest degree of polynomial that removes the first digit of an integer in base p
Let $p$ be an odd prime and $n \geq 2$.
(1) Does there exist an integer-coefficient polynomial $f$ such that $f(x) = x - (x \bmod p)$ for all $x \in \mathbb{Z}/p^n \mathbb{Z}$? The polynomial effect …
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