4 papers
The triangular numbers are finitely stable
Luan Alberto Ferreira
This small note proves that the set of triangular numbers is a finitely stable additive basis. This, together with a previous result by the author, shows that triangular numbers an…
Real exponential sums over primes and prime gaps
Luan Alberto Ferreira
We prove that given such that , then . This solves a long-standing problem concerning the exis…
On Finitely Stable Additive Bases
Lucas Y. Obata, Luan A. Ferreira, Giuliano G. La Guardia
The concept of additive basis has been investigated in the literature for several mathematicians which works with number theorem. Recently, the concept of finitely stable additive…
Some consequences of the Firoozbakht's conjecture
Luan Alberto Ferreira, Hugo Luiz Mariano
In this paper we present the statement of the Firoozbakht's conjecture, some of its consequences if it is proved and we show a consequence of Zhang's theorem concerning the Firoozb…