researcher

F. Luca

122 papers hereh-index 326.5k citations830 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position

first author27
middle author46
last author47

Across the 120 of 122 papers where every author was matched, so the position is known.

fields

math.NT117
cs.LO2
math.CO2
cs.DM1

same name

F. Luca — 6 papers, h 6
F. Luca — 3 papers, h 2
F. Luca — 3 papers, h 2
F. Luca — 2 papers, h 12
F. Luca — 1 paper, h 17
F. Luca — 1 paper, h 15

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity

20012025

most citedOn a problem of Pillai with Fibonacci numbers and powers of 2

33 citations · 193 across the 95 of their papers we have counts for

collaborators

Showing 2007 · math.NTShow all

2 papers · 2 filters

math.NT2007★ 7 cited

Residue Classes Having Tardy Totients

John Friedlander, Florian Luca

We show, in an effective way, that there exists a sequence of congruence classes $a_{k} (mod m_{k})$ such that the minimal solution $n = n_{k}$ of the congruence $ϕ(n)\equiv a_k\pmod {m_k…

math.NT2007

On the largest prime factor of the Mersenne numbers

Kevin Ford, Florian Luca, Igor E. Shparlinski

Let P(k) be the largest prime factor of the positive integer k. In this paper, we prove that the series $\sum_{n \geq 1} \frac{( l o g n ) ^{a}}{P ( 2 ^{n} - 1 )}$ is convergent for each constant a…