33 citations · 59 across the 47 of their papers we have counts for
4 papers · 2 filters
Counting Keith numbers
Martin Klazar, Florian Luca
A Keith number is a positive integer N with the decimal representation a_1a_2...a_n such that n>=2 and N appears in the sequence (K_m) given by the recurrence K_1=a_1,...,K_n=a_n a…
Heron triangles with two fixed sides
Eugen J. Ionascu, Florian Luca, Pantelimon Stanica
In this paper, we study the function , which associates to every pair of positive integers and the number of positive integers such that the triangle of sides $…
Arithmetic properties of the Ramanujan function
Florian Luca, Igor E Shparlinski
We study some arithmetic properties of the Ramanujan function , such as the largest prime divisor and the number of distinct prime divisors of for…
Integers without divisors from a fixed arithmetic progression
William D. Banks, John B. Friedlander, Florian Luca
Let a be an integer and q a prime number. In this paper, we find an asymptotic formula for the number of positive integers n < x with the property that no divisor d > 1 of n lies i…