Titlebook: Cubic Fields with Geometry; Samuel A. Hambleton,Hugh C. Williams Book 2018 Springer Nature Switzerland AG 2018 binary cubic forms.cubic fi

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1613-5237 ls and disciplines which are applicable in the study of cubiThe objective of this book is to provide tools for solving problems which involve cubic number fields. Many such problems can be considered geometrically; both in terms of the geometry of numbers and geometry of the associated cubic Diophan

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David Courpasson,Jean-Claude Thoenig any non-zero ideal of . can be represented uniquely as the product of prime ideals. We conclude with a review of the analytic class number formula and exhibit several results relating the class number of the cubic field to its regulator.

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Introduction: Illuminating a Twilight Worldermination of the fundamental unit of a cubic field of negative discriminant or of a fundamental pair of units of a cubic field of positive discriminant. These problems reduce to the task of finding a particular relative minimum adjacent to 1 in a reduced lattice which we will discuss in the next chapter.

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