Santa Monica College

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20092021

most citedElectron coherent and incoherent pairing instabilities in inhomogeneous bipartite and nonbipartite nanoclusters

24 citations

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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.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.NT2015

Explicit constants in averages involving the multiplicative order

Sungjin Kim

Let $a > 1$ . Denote by $l_{a} (p)$ the multiplicative order of $a$ modulo $p$ . We look for an estimate of sum of $\frac{l _{a} ( p )}{p - 1}$ over primes $p \leq x$ on average. When we average o…