Sum-product estimates and multiplicative orders of $\gamma$ and $\gamma + \gamma^{-1}$ in finite fields

Authors

  • Igor Shparlinksi

Keywords:

multiplicative orders, sum-product estimates

Abstract

Using a recent result on the sum-product problem, we estimate the number of elements $\gamma$ is a prime finite field such that both $\gamma$ and $\gamma+ \gamma^{-1}$ are of small order. DOI: 10.1017/S0004972711002887

Published

2012-04-22

Issue

Vol. 85 No. 3 (2012)

Section

Articles
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