Srichan, Teerapat and Pinthira, Tangsupphathawat (2019) On the distribution of primitive roots that are $(k,r) $-integers. Armenian Journal of Mathematics, 11 (12). pp. 1-12. ISSN 1829-1163
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Official URL: http://armjmath.sci.am
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | $(k,r) $-integer, primitive root |
| Subjects: | 11-xx Number theory |
| ID Code: | 855 |
| Deposited By: | Professor Anry Nersesyan |
| Deposited On: | 26 Dec 2019 20:29 |
| Last Modified: | 26 Dec 2019 20:30 |
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