Some peculiarities of order 2 bases of N and the Erdos-Turan conjecture
Labib Haddad
TL;DR
The paper introduces the Erdos-Tuan algebra, a new mathematical tool designed to study order 2 bases of natural numbers, aiming to shed light on the Erdos-Turan conjecture.
Contribution
It presents a novel algebraic framework specifically tailored for analyzing order 2 bases and their relation to the Erdos-Turan conjecture.
Findings
Development of the Erdos-Tuan algebra as a new analytical tool
Potential insights into the Erdos-Turan conjecture through this algebra
Foundation for future research on bases of natural numbers
Abstract
A new tool is introduced, specially tailored for the study of order 2 bases of N. It is called the Erdos-Tuan algebra since it suits well their conjecture.
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Taxonomy
TopicsAdvanced Topics in Algebra · graph theory and CDMA systems · Advanced Combinatorial Mathematics