Sungjin Kim

most citedOn the reciprocal sum of lcm of k-tuples

1 citations · 1 across the 2 of their papers we have counts for

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4 papers

math.NT2021★ 1 cited

On the reciprocal sum of lcm of k-tuples

Sungjin Kim

We prove that the reciprocal sum $S_{k} (x)$ of the least common multiple of $k \geq 3$ positive integers in $N \cap [1, x]$ satisfies $S_{k} (x) = P_{2^{k} - 1} (lo g x) + O (x^{- θ_{k} + ε})$ where…

math.NT2021

On the distribution of lcm of k-tuples and related problems

Sungjin Kim

We study the distribution of the least common multiple of positive integers in N\cap [1, x] and related problems. We refine some results of Hilberdink and Tóth (2016). We also give…

math.NT2016

The average number of divisors of the Euler function

Sungjin Kim

The upper bound and the lower bound of average numbers of divisors of Euler Phi function and Carmichael Lambda function are obtained by Luca and Pomerance (see \cite{LP}). We impro…

math.NT2016

On the Second Moment Estimate Involving the $λ$ -Primitive Roots Modulo $n$

Sungjin Kim

Artin's Conjecture on Primitive Roots states that a non-square nonunit integer $a$ is a primitive root modulo $p$ for the positive proportion of $p$ . This conjecture remains open,…

On the reciprocal sum of lcm of k-tuples

On the distribution of lcm of k-tuples and related problems

The average number of divisors of the Euler function

On the Second Moment Estimate Involving the λ-Primitive Roots Modulo n

On the Second Moment Estimate Involving the $λ$ -Primitive Roots Modulo $n$