L. A. Ferreira

activity

20142023

most citedSome consequences of the Firoozbakht's conjecture

1 citations · 1 across the 5 of their papers we have counts for

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math.NT2023

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…

math.NT2023

Real exponential sums over primes and prime gaps

Luan Alberto Ferreira

We prove that given $λ \in R$ such that $0 < λ < 1$ , then $π (x + x^{λ}) - π (x) \sim \frac{x ^{λ}}{lo g ( x )}$ . This solves a long-standing problem concerning the exis…