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arXiv · 1204.6374

Incomplete Kloosterman sums and multiplicative inverses in short intervals

Tim Browning·Alan Haynes
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Abstract

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.

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Tim Browning, Alan Haynes. 2012-04-28. Incomplete Kloosterman sums and multiplicative inverses in short intervals. https://arxiv.org/abs/1204.6374

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