Sungjin Kim

activity

20122021

most citedOn the average exponent of CM Elliptic Curves Modulo p

7 citations · 11 across the 8 of their papers we have counts for

collaborators

Showing 2015 · math.NTShow all

3 papers · 2 filters

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…

math.NT2015★ 1 cited

Average Results on the Order of $a$ modulo $p$

Sungjin Kim

Let $a > 1$ be an integer. Denote by $l_{a} (p)$ the multiplicative order of $a$ modulo primes $p$ . We prove that if $\frac{x}{l o g x l o g l o g x} = o (y)$ , then $$\frac 1 y \sum_{a\leq y}\s…

math.NT2015★ 2 cited

On the Order of $a$ modulo $n$ on Average

Sungjin Kim

Let $a > 1$ be an integer. Denote by $l_{a} (n)$ the multiplicative order of $a$ modulo integer $n \geq 1$ . We prove that there is a positive constant $δ$ such that if $x^{1-δ}\log^3 x =…

Explicit constants in averages involving the multiplicative order

Average Results on the Order of a modulo p

On the Order of a modulo n on Average

Average Results on the Order of $a$ modulo $p$

On the Order of $a$ modulo $n$ on Average