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math.NT2018
On a theorem of Hildebrand
Carsten Dietzel
We prove that for each multiplicative subgroup of finite index in , the set of integers with is an IP-set. This generalizes a theorem of Hildeb…
math.NT2013
A generalization of Schur's theorem and its application to consecutive power residues
Carsten Dietzel
This article provides a proof of a generalization of Schur's theorem on the partition regularity of the equation x+y=z, which involves a divisibility condition. This generalization…