On the average number of elements in a finite field with order or index in a prescribed residue class

نویسنده

  • Pieter Moree
چکیده

For any prime p the density of elements in Fp having order, respectively index, congruent to a(mod d) is being considered. These densities on average are determined, where the average is taken over all finite fields of prime order. Some connections between the two densties are established. It is also shown how to compute these densities with high numerical accuracy.

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عنوان ژورنال:
  • Finite Fields and Their Applications

دوره 10  شماره 

صفحات  -

تاریخ انتشار 2004