Geodesic
COUNTING $S_5$ -FIELDS WITH A POWER SAVING ERROR TERM
Forum of Mathematics, Sigma, Tome 2 (2014)

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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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     author = {ARUL SHANKAR and JACOB TSIMERMAN},
     title = {COUNTING $S_5$ {-FIELDS} {WITH} {A} {POWER} {SAVING} {ERROR} {TERM}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {2},
     year = {2014},
     doi = {10.1017/fms.2014.10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2014.10/}
}
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ARUL SHANKAR; JACOB TSIMERMAN. COUNTING $S_5$ -FIELDS WITH A POWER SAVING ERROR TERM. Forum of Mathematics, Sigma, Tome 2 (2014). doi: 10.1017/fms.2014.10

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