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arXiv · 1910.08539

On semigroup orbits of polynomials and multiplicative orders

Jorge Mello
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Abstract

We show, under some natural restrictions, that some semigroup orbits of polynomials cannot contain too many elements of small multiplicative order modulo a large prime $p$, extending previous work of Shparlinski (2017).

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Jorge Mello. 2019-10-18. On semigroup orbits of polynomials and multiplicative orders. https://doi.org/10.1017/s000497272000009x

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