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numtheory[mipolys] - number of monic irreducible univariate polynomials
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Calling Sequence
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mipolys(n, p, m)
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Parameters
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n
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non-negative integer
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p
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prime integer (characteristic of a finite field)
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m
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(optional) positive integer
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Description
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The mipolys function computes the number of monic irreducible univariate polynomials of degree n over the finite field  , if the parameter m is not specified.
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If m is specified, mipolys(n, p, m) computes the number of monic irreducible univariate polynomials of degree n over the Galois field  .
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If m is not explicitly specified, m defaults to 1. In this context, the general mathematical definition of mipolys is
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Examples
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