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20002004
most citedMotivic integration and the Grothendieck group of pseudo-finite fields

13 citations · 20 across the 3 of their papers we have counts for

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Showing 2002Show all

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math.NT2002★ 7 cited

On some rational generating series occuring in arithmetic geometry

J. Denef, F. Loeser

We illustrate the principle: rational generating series occuring in arithmetic geometry are motivic in nature.

math.AG2002★ 13 cited

Motivic integration and the Grothendieck group of pseudo-finite fields

J. Denef, F. Loeser

We survey our recent work on an extension of the theory of motivic integration, called arithmetic motivic integration. We developed this theory to understand how p-adic integrals o…