# Coefficients on the p-adic expansions

1. Feb 27, 2015

### MostlyHarmless

So a p-adic expansion of a rational number was presented to me as an analogue of a Laurent-series expansion and defined as:
$$\sum\limits_{n=-{\infty}}^{\infty}a_np^n$$
Can you find the coefficients for these the same way you would for a Laurent series? I've not gotten to that part of this book, but it mentions calculus on the p-adics.

2. Mar 4, 2015

### MostlyHarmless

I've also resolved this question. Derivatives aren't defined on the p-adic numbers. And there is no "formula" for finding the coefficients.

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