In this article, we studied the inverse Erd{o}s-Heilbronn problem with the restricted sumset from two components A and B that are not necessarily the same. We give a completely elementary proof for the problem in Z and some partial results that contributes to the elementary proof of the problem in Z/pZ, avoiding the usage of the powerful polynomial method and the Combinatorial Nullstellensatz.
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Shengning Zhang (2024) studied this question.
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