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arXiv · 1703.04953

Square-full primitive roots

Marc Munsch·Tim Trudgian
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Abstract

We use character sum estimates to give a bound on the least square-full primitive root modulo a prime. Specifically, we show that there is a square-full primitive root mod $p$ less than $p^{2/3 + 3/(4 \sqrt{e})+ ε}$, and we give some conditional bounds.

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Marc Munsch, Tim Trudgian. 2017-03-15. Square-full primitive roots. https://arxiv.org/abs/1703.04953

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