6 citations · 14 across the 12 of their papers we have counts for
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math.LO2002
Grothendieck rings of Laurent series fields
Raf Cluckers
We study Grothendieck rings (in the sense of logic) of fields. We prove the triviality of the Grothendieck rings of certain fields by constructing definable bijections which imply…
math.LO2002
Presburger sets and p-minimal fields
Raf Cluckers
We prove a cell decomposition theorem for Presburger sets and introduce a dimension theory for Z-groups with the Presburger structure. Using the cell decomposition theorem we obtai…
math.NT2002
Analytic p-adic Cell Decomposition and Integrals
Raf Cluckers
We prove a conjecture of Denef on parameterized -adic analytic integrals using an analytic cell decomposition theorem, which we also prove in this paper. This cell decomposition…