Twisted Linnik implies optimal covering exponent for $S^3$

@article{Browning2016TwistedLI,
  title={Twisted Linnik implies optimal covering exponent for \$S^3\$},
  author={Tim D. Browning and V. Vinay Kumaraswamy and Raphael Steiner},
  journal={arXiv: Number Theory},
  year={2016}
}
We show that a twisted variant of Linnik's conjecture on sums of Kloosterman sums leads to an optimal covering exponent for $S^3$. 
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