Sum-product estimates and multiplicative orders of γ and γ+γ⁻¹ in finite fields

Shparlinski, Igor

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Publication date

January 2012

DOI

10.1017/S0004972711002887

Publisher

Cambridge University Press (CUP)

Journal

Bulletin of the Australian Mathematical Society

Abstract

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. Correction to this article published in Bulletin of the Australian Mathematical Society, Volume 87, Issue 03, June 2013, pp 527-528. DOI: http://dx.doi.org/10.1017/S00049727120010624 page(s

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Sum-product estimates and multiplicative orders of γ and γ+γ⁻¹ in finite fields

Abstract

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Sum-product estimates and multiplicative orders of γ and γ+γ⁻¹ in finite fields

Abstract

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