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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…
math.NT2008
Zero-sum free sequences with small sum-set
Gautami Bhowmik, Immanuel Halupczok, Jan-Christoph Schlage-Puchta
Let A be a zero-sum free subset of Z_n with |A|=k. We compute for k\le 7 the least possible size of the set of all subset-sums of A.
math.NT2007
Inductive Methods and zero-sum free sequences
Gautami Bhowmik, Immanuel Halupczok, Jan-Christoph Schlage-Puchta
We obtain a decidability result for the Davenport constant.