On the Erdős-Turán additive base conjecture

Abstract

In this paper, we formulate and prove several variants of the Erdős-Turán additive bases conjecture.

arXiv comment11 pages; the paper has been reformatted and introduction expanded; ideas remain unchanged. arXiv admin note: text overlap with arXiv:1803.09155, arXiv:1706.09803, arXiv:2007.02697