On Sidon sets which are asymptotic bases of order 4
S\'andor Z. Kiss, Eszter Rozgonyi, Csaba S\'andor
TL;DR
This paper demonstrates the existence of special sets called Sidon sets that can cover all sufficiently large numbers when summed four times, using probabilistic techniques.
Contribution
It proves the existence of Sidon sets that are asymptotic bases of order 4, a new result in additive number theory.
Findings
Existence of Sidon sets as asymptotic bases of order 4
Use of probabilistic methods to establish the result
Advancement in understanding additive properties of Sidon sets
Abstract
In this paper we prove the existence of Sidon sets which are asymptotic bases of order 4 by using probabilistic methods.
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Taxonomy
TopicsLimits and Structures in Graph Theory · Analytic Number Theory Research · Mathematical Dynamics and Fractals