Sum-product estimates and multiplicative orders of \(\gamma \) and \(\gamma +\gamma ^{ - 1}\) in finite fields
type: Item
instance of: scholarly article
zbMATH Open document ID: 1273.11174
DOI: 10.1017/S0004972711002887
published in: Bulletin of the Australian Mathematical Society
publication date: 2012-06-18T00:00:00Z
Mathematics Subject Classification ID: 11T30
Mathematics Subject Classification ID: 11B30
zbMATH DE Number: 6047098
zbMATH Keywords: sum-product estimates
zbMATH Keywords: multiplicative orders
zbMATH Keywords: finite fields
author: Igor E. Shparlinski
MaRDI profile type: Publication
cites work: Orders of Gauss periods in finite fields
cites work: Sums and products of sets and estimates of rational trigonometric sums in fields of prime order
cites work: The orders of related elements of a finite field
cites work: On a variant of sum-product estimates and explicit exponential sum bounds in prime fields
cites work: Q3856819
cites work: MULTIPLICATIVE ORDER OF GAUSS PERIODS
cites work: On the multiplicative orders of \(\gamma\) and \(\gamma+\gamma^{-1}\) over finite fields
cites work: ELEMENTS OF HIGH ORDER ON FINITE FIELDS FROM ELLIPTIC CURVES
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title: Sum-product estimates and multiplicative orders of \(\gamma \) and \(\gamma +\gamma ^{ - 1}\) in finite fields
description: scientific article; zbMATH DE number 6047098