TY - JOUR
AU - Srichan, Teerapat
AU - Tangsupphathawat, Pinthira
PY - 2019/12/13
Y2 - 2020/02/23
TI - On the distribution of primitive roots that are $(k,r)$-integers
JF - Armenian Journal of Mathematics
JA - Armen.J.Math.
VL - 11
IS - 12
SE - Articles
DO -
UR - http://armjmath.sci.am/index.php/ajm/article/view/298
SP - 1-12
AB - Let $k$ and $r$ be fixed integers with $1<r<k$. A positive integer is called $r$-free if it is not divisible by the $r^{th}$ power of any prime. A positive integer $n$ is called a $(k,r)$-integer if $n$ is written in the form $a^kb$ where $b$ is an $r$-free integer. Let $p$ be an odd prime and let $x>1$ be a real number.In this paper an asymptotic formula for the number of $(k,r)$-integers which are primitive roots modulo $p$ and do not exceed $x$ is obtained.
ER -