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The Riemann Hypothesis for Function Fields by Machiel van Frankenhuijsen

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5

The Frobenius flow

A curve defined over a finite field image has points with coordinates in image The Frobenius automorphism acts on these points by raising each coordinate to the q-th power. We call this action the Frobenius flow on image. The fixed points of this flow are the points of image the points on defined over

We show that the orbits of the Frobenius flow ...

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