25 citations · 95 across the 28 of their papers we have counts for
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math.AG2020
Evaluation of motivic functions, non-nullity, and integrability in fibers
Raf Cluckers, Immanuel Halupczok
We define an operation of evaluation at a point for motivic constructible (exponential) functions from the Cluckers-Loeser framework of motivic integration and show that two such m…
math.NT2020★ 1 cited
A -adic variant of Kontsevich-Zagier integral operation rules and of Hrushovski-Kazhdan style motivic integration
Immanuel Halupczok, Raf Cluckers
We prove that if two semi-algebraic subsets of have the same -adic measure, then this equality can already be deduced using only some basic integral transformat…