Counting $S_5$-fields with a power saving error term

Arul Shankar; Jacob Tsimerman

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arXiv · 1310.1998

Counting $S_5$-fields with a power saving error term

Arul Shankar·Jacob Tsimerman

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Abstract

We show how the Selberg $Λ^2$-sieve can be used to obtain power saving error terms in a wide class of counting problems which are tackled using geometry of numbers. Specifically, we give such an error term for the counting function of $S_5$-quintic fields.

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Arul Shankar, Jacob Tsimerman. 2013-10-09. Counting $S_5$-fields with a power saving error term. https://arxiv.org/abs/1310.1998

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