COUNTING $S_5$ -FIELDS WITH A POWER SAVING ERROR TERM

@article{Shankar2014COUNTING,
  title={COUNTING \$S\_5\$ -FIELDS WITH A POWER SAVING ERROR TERM},
  author={Arul Shankar and Jacob Tsimerman},
  journal={Forum of Mathematics, Sigma},
  year={2014},
  volume={2}
}
Abstract We show how the Selberg $\Lambda ^2$ -sieve can be used to obtain power saving error terms in a wide class of counting problems which are tackled using the geometry of numbers. Specifically, we give such an error term for the counting function of $S_5$ -quintic fields. 
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