Some explicit upper bounds on the class number and regulator of a cubic field with negative discriminant

Pierre Barrucand; John Loxton; H. C. Williams

Some explicit upper bounds on the class number and regulator of a cubic field with negative discriminant

Pierre Barrucand, John Loxton, H. C. Williams

Research output: Contribution to journal › Article › peer-review

Abstract

Explicit upper bounds are developed for the class number and the regulator of any cubic field with a negative discriminant. Lower bounds on the class number are also developed for certain special pure cubic fields.

Original language	English
Pages (from-to)	209-222
Number of pages	14
Journal	Pacific Journal of Mathematics
Volume	128
Issue number	2
Publication status	Published - 1987
Externally published	Yes

Cite this

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title = "Some explicit upper bounds on the class number and regulator of a cubic field with negative discriminant",

abstract = "Explicit upper bounds are developed for the class number and the regulator of any cubic field with a negative discriminant. Lower bounds on the class number are also developed for certain special pure cubic fields.",

author = "Pierre Barrucand and John Loxton and Williams, \{H. C.\}",

year = "1987",

language = "English",

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AU - Loxton, John

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N2 - Explicit upper bounds are developed for the class number and the regulator of any cubic field with a negative discriminant. Lower bounds on the class number are also developed for certain special pure cubic fields.

AB - Explicit upper bounds are developed for the class number and the regulator of any cubic field with a negative discriminant. Lower bounds on the class number are also developed for certain special pure cubic fields.

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VL - 128

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JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Some explicit upper bounds on the class number and regulator of a cubic field with negative discriminant

Abstract

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