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SUM–PRODUCT ESTIMATES AND MULTIPLICATIVE ORDERS OF γ AND γ+γ−1 IN FINITE FIELDS

Part of: Finite fields and commutative rings (number-theoretic aspects)

Published online by Cambridge University Press:  30 November 2011

IGOR SHPARLINSKI
IGOR SHPARLINSKI*
Affiliation:
Department of Computing, Macquarie University, NSW 2109, Australia (email: [email protected])
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Abstract

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Using a recent result on the sum–product problem, we estimate the number of elements γ in a prime finite field such that both γ and γ+γ−1 are of small order.

Keywords

multiplicative ordersum–product theorem

MSC classification

Secondary: 11T30: Structure theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 3 , June 2012 , pp. 505 - 508
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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