Levels of distribution for sieve problems in prehomogeneous vector spaces

DOI10.1007/s00208-019-01933-1zbMath1455.11161arXiv1707.01850OpenAlexW3006007203MaRDI QIDQ2308337

Takashi Taniguchi, Frank Thorne

Publication date: 3 April 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01850

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Cubic and quartic extensions (11R16) Prehomogeneous vector spaces (11S90)

Related Items (3)

An improvement on Schmidt’s bound on the number of number fields of bounded discriminant and small degree ⋮ The tamely ramified geometric quantitative minimal ramification problem ⋮ Large families of elliptic curves ordered by conductor

Cites Work

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• Coregular spaces and genus one curves
• On the Davenport-Heilbronn theorems and second order terms
• Secondary terms in counting functions for cubic fields
• The density of discriminants of quintic rings and fields
• Error estimates for the Davenport-Heilbronn theorems
• Prehomogeneous vector spaces and field extensions
• On \(\ell\)-torsion in class groups of number fields
• Higher composition laws. III: The parametrization of quartic rings
• Sieve and 3-rank of quadratic fields
• Higher composition laws. II: On cubic analogues of Gauss composition
• Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations
• On the 3-rank of quadratic fields with prime or almost prime discriminant
• Higher composition laws. IV: The parametrization of quintic rings
• The density of discriminants of quartic rings and fields
• Dirichlet series associated to quartic fields with given cubic resolvent
• A general stratification theorem for exponential sums, and applications
• COUNTING -FIELDS WITH A POWER SAVING ERROR TERM
• Orbital exponential sums for prehomogeneous vector spaces
• Selberg's sieve with weights
• On the density of discriminants of cubic fields. II
• Number of Points of Varieties in Finite Fields

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