On the Davenport-Heilbronn theorems and second order terms
Author(s): Bhargava, Manjul; Shankar, Arul; Tsimerman, Jacob
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Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bhargava, Manjul | - |
dc.contributor.author | Shankar, Arul | - |
dc.contributor.author | Tsimerman, Jacob | - |
dc.date.accessioned | 2017-11-21T19:04:20Z | - |
dc.date.available | 2017-11-21T19:04:20Z | - |
dc.date.issued | 2013-08 | en_US |
dc.identifier.citation | Bhargava, Manjul, Shankar, Arul, Tsimerman, Jacob. (2013). On the Davenport-Heilbronn theorems and second order terms. INVENTIONES MATHEMATICAE, 193 (439 - 499. doi:10.1007/s00222-012-0433-0 | en_US |
dc.identifier.issn | 0020-9910 | - |
dc.identifier.uri | http://arks.princeton.edu/ark:/88435/pr1j341 | - |
dc.description.abstract | We give simple proofs of the Davenport–Heilbronn theorems, which provide the main terms in the asymptotics for the number of cubic fields having bounded discriminant and for the number of 3-torsion elements in the class groups of quadratic fields having bounded discriminant. We also establish second main terms for these theorems, thus proving a conjecture of Roberts. Our arguments provide natural interpretations for the various con- stants appearing in these theorems in terms of local masses of cubic rings. | en_US |
dc.format.extent | 439 - 499 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | INVENTIONES MATHEMATICAE | en_US |
dc.rights | Author's manuscript | en_US |
dc.title | On the Davenport-Heilbronn theorems and second order terms | en_US |
dc.type | Journal Article | en_US |
dc.identifier.doi | doi:10.1007/s00222-012-0433-0 | - |
dc.date.eissued | 2012-12-11 | en_US |
pu.type.symplectic | http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article | en_US |
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