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ON SEMIGROUP ORBITS OF POLYNOMIALS AND MULTIPLICATIVE ORDERS
Published online by Cambridge University Press: 20 February 2020
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 [‘Multiplicative orders in orbits of polynomials over finite fields’, Glasg. Math. J.60(2) (2018), 487–493].
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 102 , Issue 3 , December 2020 , pp. 365 - 373
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
Footnotes
For this research, the author was supported by the Australian Research Council Grant DP180100201.
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