On the value set of Fermat quotients
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- by Igor E. Shparlinski PDF
- Proc. Amer. Math. Soc. 140 (2012), 1199-1206 Request permission
Abstract:
We obtain an upper bound $p^{463/252+o(1)}$ on the smallest $L$ such that the set of the first $L$ Fermat quotients modulo a prime $p$ represents all residues modulo $p$.References
Additional Information
- Igor E. Shparlinski
- Affiliation: Department of Computing, Macquarie University, Sydney, NSW 2109, Australia
- MR Author ID: 192194
- Email: igor.shparlinski@mq.edu.au
- Received by editor(s): December 20, 2010
- Received by editor(s) in revised form: January 2, 2011
- Published electronically: August 2, 2011
- Communicated by: Matthew A. Papanikolas
- © Copyright 2011 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 140 (2012), 1199-1206
- MSC (2000): Primary 11A07, 11L07
- DOI: https://doi.org/10.1090/S0002-9939-2011-11203-6
- MathSciNet review: 2869105