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On sums of distinct powers of 3 and 4
Auteur(s)
Maximilian F. Hasler
Date de parution
2024
In
Combinatorics and Number Theory
Vol.
13
No
2
De la page
141
A la page
148
Revu par les pairs
true
Résumé
In 1996 Erdős conjectured that the set Σ(Pow({3,4}),1) defined as the sums of distinct powers of 3 and distinct powers of 4 has positive asymptotic density. We investigate some structure properties of this set. We also prove some asymptotic estimates for its counting function P{3,4}(x). In particular we prove that P{3,4}(x)≫x^0.97777, improving an old estimate of Melfi.
Identifiants
Autre version
https://msp.org/cnt/2024/13-2/p04.xhtml
Type de publication
journal article
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