An extension of the Erdős-Turán additive base conjecture via generalized circles of partition

Abstract

This paper is an extension program of the notion of circle of partition developed in our first paper \cite{CoP}. As an application we prove the Erdős-Turán additive base conjecture.

arXiv comment9 pages; This paper had undergone peer review but not well understood by experts. The paper has been revised and trimmed down to specific details; A new remark has been added at the end of the proof to clarify certain misunderstanding of the reviewers; updated with more explanation. arXiv admin note: text overlap with arXiv:1706.09803