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## Main Question or Discussion Point

The p-adic numbers Qp don't have a square root of -1, if p=3 mod 4.

So would differentiable functions from Qp

So would differentiable functions from Qp

*-> Qp**satisfy the*

Cauchy-Riemann equations? I don't know why not.

To what extent would analysis in QpCauchy-Riemann equations? I don't know why not.

To what extent would analysis in Qp

*have the familiar complex analysis*

theorems??? You couldn't prove that Qptheorems??? You couldn't prove that Qp

*is algebraically complete, I*

wonder what would block the complex analysis proof of that, that 1/p(x)

would be a bounded entire function if it had no roots.

Laurawonder what would block the complex analysis proof of that, that 1/p(x)

would be a bounded entire function if it had no roots.

Laura