7 citations · 11 across the 8 of their papers we have counts for
8 papers · 1 filter
On the reciprocal sum of lcm of k-tuples
Sungjin Kim
We prove that the reciprocal sum of the least common multiple of positive integers in satisfies where…
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…
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…
On the Second Moment Estimate Involving the -Primitive Roots Modulo
Sungjin Kim
Artin's Conjecture on Primitive Roots states that a non-square nonunit integer is a primitive root modulo for the positive proportion of . This conjecture remains open,…
Explicit constants in averages involving the multiplicative order
Sungjin Kim
Let . Denote by the multiplicative order of modulo . We look for an estimate of sum of over primes on average. When we average o…
Average Results on the Order of modulo
Sungjin Kim
Let be an integer. Denote by the multiplicative order of modulo primes . We prove that if , then $$\frac 1 y \sum_{a\leq y}\s…
On the Order of modulo on Average
Sungjin Kim
Let be an integer. Denote by the multiplicative order of modulo integer . We prove that there is a positive constant such that if $x^{1-δ}\log^3 x =…
On the average exponent of CM Elliptic Curves Modulo p
Sungjin Kim
Let be an elliptic curve defined over $\Q$ and with complex multiplication by $\mO_K$, the ring of integers in an imaginary quadratic field . It is known that $E(\F_p)$ has…