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2012 The average order of elements in the multiplicative group of a finite field
Yilan Hu, Carl Pomerance
Involve 5(2): 229-236 (2012). DOI: 10.2140/involve.2012.5.229

Abstract

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.

Citation

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Yilan Hu. Carl Pomerance. "The average order of elements in the multiplicative group of a finite field." Involve 5 (2) 229 - 236, 2012. https://doi.org/10.2140/involve.2012.5.229

Information

Received: 7 December 2011; Revised: 11 January 2012; Accepted: 13 January 2012; Published: 2012
First available in Project Euclid: 20 December 2017

zbMATH: 1285.11022
MathSciNet: MR3035340
Digital Object Identifier: 10.2140/involve.2012.5.229

Subjects:
Primary: 11B05 , 11B75

Keywords: average multiplicative order , finite field

Rights: Copyright © 2012 Mathematical Sciences Publishers

Vol.5 • No. 2 • 2012
MSP
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