On the Erd\H{o}s-Tur\'{a}n additive base conjecture
Theophilus Agama

TL;DR
This paper formulates and proves multiple variants of the Erdős-Turán additive bases conjecture, advancing understanding of additive number theory.
Contribution
It introduces and establishes several new variants of the longstanding Erdős-Turán additive bases conjecture.
Findings
Several variants of the conjecture are proven.
New theoretical insights into additive bases are provided.
The results extend previous conjectures in additive number theory.
Abstract
In this paper, we formulate and prove several variants of the Erd\H{o}s-Tur\'{a}n additive bases conjecture.
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