Incomplete kloosterman sums and multiplicative inverses in short intervals
T.D. Browning, A. Haynes, International Journal of Number Theory 9 (2012) 481–486.
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Browning, Timothy DIST Austria 
;
Haynes, Alan K
;
Haynes, Alan KAbstract
We investigate the solubility of the congruence xy ≡ 1 (mod p), where p is a prime and x, y are restricted to lie in suitable short intervals. Our work relies on a mean value theorem for incomplete Kloosterman sums.
Publishing Year
Date Published
2012-11-30
Journal Title
International Journal of Number Theory
Acknowledgement
EP/E053262/1 Engineering and Physical Sciences Research Council EPSRC,
EP/J00149X/1 Engineering and Physical Sciences Research Council EPSRC
Volume
9
Issue
2
Page
481 - 486
IST-REx-ID
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Browning TD, Haynes A. Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. 2012;9(2):481-486. doi: https://doi.org/10.1142/S1793042112501448
Browning, T. D., & Haynes, A. (2012). Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. World Scientific Publishing. https://doi.org/ https://doi.org/10.1142/S1793042112501448
Browning, Timothy D, and Alan Haynes. “Incomplete Kloosterman Sums and Multiplicative Inverses in Short Intervals.” International Journal of Number Theory. World Scientific Publishing, 2012. https://doi.org/ https://doi.org/10.1142/S1793042112501448.
T. D. Browning and A. Haynes, “Incomplete kloosterman sums and multiplicative inverses in short intervals,” International Journal of Number Theory, vol. 9, no. 2. World Scientific Publishing, pp. 481–486, 2012.
Browning TD, Haynes A. 2012. Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. 9(2), 481–486.
Browning, Timothy D., and Alan Haynes. “Incomplete Kloosterman Sums and Multiplicative Inverses in Short Intervals.” International Journal of Number Theory, vol. 9, no. 2, World Scientific Publishing, 2012, pp. 481–86, doi: https://doi.org/10.1142/S1793042112501448.
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