On the distribution of primitive roots that are $(k,r)$-integers
Armenian Journal of Mathematics
View Publication Info| Field | Value | |
| Title |
On the distribution of primitive roots that are $(k,r)$-integers
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| Creator |
Srichan, Teerapat
Tangsupphathawat, Pinthira |
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| Subject |
$(k,r) $-integer
primitive root 11B50 11N25 11L40 |
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| Description |
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. |
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| Publisher |
National Academy of Sciences of Armenia
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| Date |
2019-12-13
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| Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion Peer-reviewed Article |
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| Format |
application/pdf
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| Identifier |
http://armjmath.sci.am/index.php/ajm/article/view/298
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| Source |
Armenian Journal of Mathematics; Vol. 11 No. 12 (2019): On the distribution of primitive roots that are $(k,r)$-integers ; 1-12
1829-1163 |
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| Language |
eng
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| Relation |
http://armjmath.sci.am/index.php/ajm/article/view/298/153
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| Rights |
Copyright (c) 2019 Armenian Journal of Mathematics
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