Local zeta function: Difference between revisions

Revision as of 16:20, 31 July 2021

Revision as of 05:40, 10 September 2021

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:<math>Z(t) = \frac{1}{(1 - t)}\ .</math>

To take something more interesting, let ''V'' be the [[projective line]] over ''F''. If ''F'' has ''q'' elements, then this has ''q'' + 1 points, including as we must the one [[point at infinity]]. Therefore, we have

:<math>N_k = q^k + 1</math>