標題: Titlebook: Cubic Fields with Geometry; Samuel A. Hambleton,Hugh C. Williams Book 2018 Springer Nature Switzerland AG 2018 binary cubic forms.cubic fi [打印本頁] 作者: 里程表 時間: 2025-3-21 18:19
書目名稱Cubic Fields with Geometry影響因子(影響力)
書目名稱Cubic Fields with Geometry影響因子(影響力)學科排名
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書目名稱Cubic Fields with Geometry網(wǎng)絡公開度學科排名
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書目名稱Cubic Fields with Geometry被引頻次學科排名
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書目名稱Cubic Fields with Geometry年度引用學科排名
書目名稱Cubic Fields with Geometry讀者反饋
書目名稱Cubic Fields with Geometry讀者反饋學科排名
作者: 表被動 時間: 2025-3-21 20:16 作者: 歡笑 時間: 2025-3-22 00:45 作者: Brain-Imaging 時間: 2025-3-22 07:57
Construction of All Cubic Fields of a Fixed Fundamental Discriminant (Renate Scheidler),dratic resolvent field. Berwick explained how each such quadratic integer determines the roots of a cubic polynomial with rational coefficients. He referred to these elements as (quadratic) generators since they are generators of ideals in the maximal order of the quadratic resolvent field whose cub作者: 終端 時間: 2025-3-22 09:17 作者: 強壯 時間: 2025-3-22 16:26 作者: 強壯 時間: 2025-3-22 17:15
,Voronoi’s Theory of Continued Fractions,field. We begin with a discussion of how Voronoi extended the idea of a simple continued fraction of a quadratic irrationality to that of a cubic irrationality. Next, we provide an account of relative minima in cubic lattices, reduced lattices (lattices in which 1 is a relative minimum), and chains 作者: 混合 時間: 2025-3-22 22:38
Relative Minima Adjacent to 1 in a Reduced Lattice, a basis is essential for finding the relative minimum adjacent to 1 in a reduced lattice and a Voronoi basis for the lattice. A significant problem associated with this process is the need for working with rational approximations to cubic irrationals. We provide techniques for solving this problem 作者: Hot-Flash 時間: 2025-3-23 05:06 作者: 攝取 時間: 2025-3-23 09:14 作者: Gnrh670 時間: 2025-3-23 12:55
Springer Nature Switzerland AG 2018作者: Paradox 時間: 2025-3-23 16:38 作者: 債務 時間: 2025-3-23 19:28
‘Anglo-America’ and Atlantic Europeany of the well-known properties of these numbers. In particular, we describe the cubic polynomial and develop many of the attributes of the cubic field generated by such a polynomial. This involves examining orders, the maximal order, integral bases of an order, the discriminant, and the performanc作者: Anhydrous 時間: 2025-3-24 00:49
David Courpasson,Jean-Claude Thoenig1-lattices over .. We define the ideal class group of . and the class number of .. We next examine the prime ideals in the maximal order and show that 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 an作者: amenity 時間: 2025-3-24 04:23
David Courpasson,Jean-Claude Thoenig which lead to the understanding of the ideal class group. Eisenstein deduced some interesting results on binary cubic forms. While those results were mostly concerned with composition, binary cubic forms are much more generally important in the study of cubic fields. Binary cubic forms are an essen作者: Indebted 時間: 2025-3-24 09:10 作者: Mosaic 時間: 2025-3-24 11:25 作者: anachronistic 時間: 2025-3-24 17:43 作者: Junction 時間: 2025-3-24 20:17
Introduction: Illuminating a Twilight Worldfield. We begin with a discussion of how Voronoi extended the idea of a simple continued fraction of a quadratic irrationality to that of a cubic irrationality. Next, we provide an account of relative minima in cubic lattices, reduced lattices (lattices in which 1 is a relative minimum), and chains 作者: 神秘 時間: 2025-3-25 00:16 作者: sleep-spindles 時間: 2025-3-25 07:05 作者: Anonymous 時間: 2025-3-25 10:43 作者: cauda-equina 時間: 2025-3-25 14:47
CMS Books in Mathematicshttp://image.papertrans.cn/d/image/240708.jpg作者: 朦朧 時間: 2025-3-25 19:16 作者: Irritate 時間: 2025-3-25 23:56
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作者: 脫毛 時間: 2025-3-26 02:40
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.作者: 信條 時間: 2025-3-26 07:19 作者: 無關緊要 時間: 2025-3-26 08:49 作者: 整潔漂亮 時間: 2025-3-26 16:35
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.作者: 冬眠 時間: 2025-3-26 18:44 作者: 噱頭 時間: 2025-3-27 00:33
Cubic Pell Equations,is chapter, we derive several Diophantine equations associated with a cubic field, investigate relationships between them, derive their group laws, briefly discuss points modulo a prime, and consider naive algorithms for solving some of these Diophantine equations.作者: 燕麥 時間: 2025-3-27 04:23
,Voronoi’s Theory of Continued Fractions,ermination 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.作者: 向宇宙 時間: 2025-3-27 07:17
Cubic Fields,e of arithmetic in these structures. We also discuss the various types of cubic fields and the properties of the units and regulator. We conclude with a collection of results concerning the development of the simple continued fraction of a cubic irrationality.作者: 絕種 時間: 2025-3-27 10:16
Relative Minima Adjacent to 1 in a Reduced Lattice,in various parts of the overall algorithm. We present an algorithm for finding a reduced lattice similar to a given one, and conclude with some useful connections between prepared bases and binary cubic forms.作者: 固執(zhí)點好 時間: 2025-3-27 16:19
Parametrization of Norm 1 Elements of ,, discuss this work with very little of the language or tools of algebraic geometry, with the exception of some projective geometry. We also discuss conics and singular elliptic curves as they are significantly easier to parameterize.作者: ACE-inhibitor 時間: 2025-3-27 20:51
Cubic Ideals and Lattices, 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.作者: 暫停,間歇 時間: 2025-3-27 22:41
‘Anglo-America’ and Atlantic Europee of arithmetic in these structures. We also discuss the various types of cubic fields and the properties of the units and regulator. We conclude with a collection of results concerning the development of the simple continued fraction of a cubic irrationality.作者: Epithelium 時間: 2025-3-28 03:08 作者: 使腐爛 時間: 2025-3-28 07:22 作者: Mirage 時間: 2025-3-28 12:53
David Courpasson,Jean-Claude Thoenign of Shanks’ method due toFung found generating polynomials of all 364 cubic fields with a 19-digit discriminant. This chapter presents the never before published Shanks-Fung algorithm and, for completeness, concludes with a brief summary ofBelabas’ fast technique for tabulating all cubic fields of bounded discriminant.作者: 槍支 時間: 2025-3-28 16:27
The , and Polish Partisan Warfare, 1939–43d relate these to the work of Godwin. We give a few algorithms for finding units of a cubic field of negative discriminant inspired by what we learn here. The main theme of this chapter is the applications of Diophantine approximation to problems associated with cubic fields.作者: EXPEL 時間: 2025-3-28 19:21
Construction of All Cubic Fields of a Fixed Fundamental Discriminant (Renate Scheidler),n of Shanks’ method due toFung found generating polynomials of all 364 cubic fields with a 19-digit discriminant. This chapter presents the never before published Shanks-Fung algorithm and, for completeness, concludes with a brief summary ofBelabas’ fast technique for tabulating all cubic fields of bounded discriminant.作者: adequate-intake 時間: 2025-3-29 00:55
