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PRIMES IN ARITHMETIC PROGRESSIONS AND NONPRIMITIVE ROOTS
Published online by Cambridge University Press: 24 May 2019
Abstract
Let $p$ be a prime. If an integer $g$ generates a subgroup of index $t$ in $(\mathbb{Z}/p\mathbb{Z})^{\ast },$ then we say that $g$ is a $t$-near primitive root modulo $p$. We point out the easy result that each coprime residue class contains a subset of primes $p$ of positive natural density which do not have $g$ as a $t$-near primitive root and we prove a more difficult variant.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 100 , Issue 3 , December 2019 , pp. 388 - 394
- Copyright
- © 2019 Australian Mathematical Publishing Association Inc.
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