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The average order
of elements in the multiplicative group of a finite field
Yilan Hu and Carl Pomerance
Vol. 5 (2012), No. 2, 229–236
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Abstract |
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We consider the average multiplicative order of a nonzero element in a finite field and compute the mean of this statistic for all finite fields of a given degree over their prime fields. |
Keywords
average multiplicative order, finite field
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Mathematical Subject Classification 2010
Primary: 11B05, 11B75
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Milestones
Received: 7 December 2011
Revised: 11 January 2012
Accepted: 13 January 2012
Published: 27 January 2013
Communicated by Kenneth S. Berenhaut
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Authors |
| Yilan Hu | |
| 55 Maple Hill Road Thetford Center, VT 05075 United States |
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| Carl Pomerance | |
| Mathematics Department Kemeny Hall Dartmouth College Hanover, NH 03755 United States |
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| www.math.dartmouth.edu/~carlp | |
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