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- W2113273519 abstract "A univariate polynomial f over a field is decomposable if it is the composition f = g ○ h of two polynomials g and h whose degree is at least 2. We determine an approximation to the number of decomposables over a finite field. The tame case, where the field characteristic p does not divide the degree n of f , is reasonably well understood, and we obtain exponentially decreasing relative error bounds. The wild case, where p divides n , is more challenging and our error bounds are weaker." @default.
- W2113273519 created "2016-06-24" @default.
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- W2113273519 date "2014-09-05" @default.
- W2113273519 modified "2023-09-25" @default.
- W2113273519 title "Counting Decomposable Univariate Polynomials" @default.
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- W2113273519 doi "https://doi.org/10.1017/s0963548314000388" @default.
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