A. Jha

activity

20172026

most citedOn the greatest common divisor of

n

and the

n

th Fibonacci number

10 citations · 11 across the 7 of their papers we have counts for

collaborators

Showing 2022 · math.NTShow all

3 papers · 2 filters

math.NT2022

On the greatest common divisor of $n$ and the $n$ th Fibonacci number, II

Abhishek Jha, Carlo Sanna

Let $A$ be the set of all integers of the form $g cd (n, F_{n})$ , where $n$ is a positive integer and $F_{n}$ denotes the $n$ th Fibonacci number. Leonetti and Sanna proved tha…

math.NT2022

The Distribution of G.C.D.s of Shifted Primes and Lucas Sequences

Abhishek Jha, Ayan Nath

Let $(u_{n})_{n \geq 0}$ be a nondegenerate Lucas sequence and $g_{u} (n)$ be the arithmetic function defined by $g cd (n, u_{n}) .$ Recent studies have investigated the distributional chara…

math.NT2022★ 1 cited

Greatest common divisors of shifted primes and Fibonacci numbers

Abhishek Jha, Carlo Sanna

Let $(F_{n})$ be the sequence of Fibonacci numbers and, for each positive integer $k$ , let $P_{k}$ be the set of primes $p$ such that $g cd (p - 1, F_{p - 1}) = k$ . We prove t…

On the greatest common divisor of n and the nth Fibonacci number, II

The Distribution of G.C.D.s of Shifted Primes and Lucas Sequences

Greatest common divisors of shifted primes and Fibonacci numbers

On the greatest common divisor of $n$ and the $n$ th Fibonacci number, II