Document Zbl 1470.11273

The shape of cubic fields. (English) Zbl 1470.11273

Res. Math. Sci. 6, No. 3, Paper No. 23, 25 p. (2019).

Summary: We use the method of Shintani, as developed by T. Taniguchi and F. Thorne [Duke Math. J. 162, No. 13, 2451–2508 (2013; Zbl 1294.11192)], to prove the quantitative equidistribution of the shape of cubic fields when the fields are ordered by discriminant.

Cited in 4 Documents

MSC:

11R16	Cubic and quartic extensions
11R29	Class numbers, class groups, discriminants
12F05	Algebraic field extensions

Keywords:

cubic field; ring of integers; equidistribution; Maass cusp form; space of lattices; zeta function

Citations:

Zbl 1294.11192

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Full Text: DOI arXiv

References:

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