標(biāo)題: Titlebook: Diophantine Equations and Power Integral Bases; Theory and Algorithm István Gaál Book 2019Latest edition Springer Nature Switzerland AG 201 [打印本頁] 作者: Magnanimous 時間: 2025-3-21 19:44
書目名稱Diophantine Equations and Power Integral Bases影響因子(影響力)
書目名稱Diophantine Equations and Power Integral Bases影響因子(影響力)學(xué)科排名
書目名稱Diophantine Equations and Power Integral Bases網(wǎng)絡(luò)公開度
書目名稱Diophantine Equations and Power Integral Bases網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Diophantine Equations and Power Integral Bases被引頻次
書目名稱Diophantine Equations and Power Integral Bases被引頻次學(xué)科排名
書目名稱Diophantine Equations and Power Integral Bases年度引用
書目名稱Diophantine Equations and Power Integral Bases年度引用學(xué)科排名
書目名稱Diophantine Equations and Power Integral Bases讀者反饋
書目名稱Diophantine Equations and Power Integral Bases讀者反饋學(xué)科排名
作者: conference 時間: 2025-3-21 20:53
Auxiliary Results and Tools,called . of type . (cf. Eq. (2.5)) with given algebraic ., ., where ., . are unknown units in a number field. These units are written as a power product of the generators of the unit group and the unknown exponents are to be determined. Baker’s method (Sect. 2.1) is used to give an initial upper bou作者: 鉗子 時間: 2025-3-22 02:17 作者: 易受騙 時間: 2025-3-22 08:35
Relative Thue Equations,d in effective form by Kotov and Sprindzuk (Dokl Akad Nauk BSSR 17:393–395, 477, 1973). This equation is a direct analogue of (.) in the relative case, when the ground ring is . instead of .. The equation given in this form has only finitely many solutions. Relative Thue equations are often consider作者: 含糊其辭 時間: 2025-3-22 10:12
The Resolution of Norm Form Equations,n of norm form equations was not investigated formerly. Our purpose is now to fill this gap and to give an efficient method for solving norm form equations under general conditions. The reason to include this algorithm in this book is that we use the same tools of Chap. . as for the above types of T作者: Alpha-Cells 時間: 2025-3-22 14:36
Index Form Equations in General,n properties, makes the resolution of index form equations much easier. In the numerical examples the field . is often the composite of its subfields. This special case is considered in Sect. .. The general results on composite fields have several applications, see for example Sects. ., ., ., and ..作者: Alpha-Cells 時間: 2025-3-22 19:58 作者: 燦爛 時間: 2025-3-23 00:50
Quartic Fields,bles. The resolution of such an equation can yield a difficult problem. The main goal of this chapter is to point out that in the quartic case the index form equation can be reduced to a cubic and some corresponding quartic Thue equations (see Sect. .). This means that in fact the index form equatio作者: AVOW 時間: 2025-3-23 04:28
Quintic Fields, quintic fields. In the most interesting case, for totally real quintic fields with Galois group .., .., or .., this computation takes several hours, contrary to the cubic and quartic cases, where to solve the index form equation was the matter of seconds or at most some minutes. The general method 作者: Explosive 時間: 2025-3-23 07:04
Sextic Fields,ds to calculate generators of power integral bases in case the sextic field admits some additional property, making the index form equation easier. We have efficient algorithms for sextic fields having quadratic or cubic subfields (see Sects. 11.2 and 11.3). Investigating the structure of the index 作者: N斯巴達(dá)人 時間: 2025-3-23 10:11
Pure Fields,ction of the integral basis in . allows us to give conditions on the monogenity of .. We follow the presentation of Gaál and Remete (J Number Theory 173:129–146, 2017). We consider pure cubic, quartic, sextic, and octic fields in detail.作者: infringe 時間: 2025-3-23 17:49 作者: Goblet-Cells 時間: 2025-3-23 19:24
Quartic Relative Extensions, in the extension field by using the relative power integral bases..In Sect. . we describe a relative analogue of the method of Sect. . to calculate relative power integral bases in relative quartic extensions. Applying this method in Sect. . we consider power integral bases in octic fields with qua作者: 頭盔 時間: 2025-3-23 22:50
Tables,ons. Recall that several examples are also given in the corresponding sections..In Sects. . and . we list the solutions of binomial Thue equations and binomial relative Thue equations, respectively..We made extensive computations in cubic, quartic, and sextic fields..The table of Sect. . gives all g作者: ALE 時間: 2025-3-24 02:38
D. J. Caballero-Garcia,A. Jimenez-MarrufoThe resolution of index form equations in cubic and quartic number fields is based on solving Thue equations. We give here an overview of the methods for solving these equations. We also consider binomial Thue equations that we shall apply in the sequel in pure quartic fields (Sect. .).作者: NATAL 時間: 2025-3-24 06:31 作者: Apoptosis 時間: 2025-3-24 12:38
Thue Equations,The resolution of index form equations in cubic and quartic number fields is based on solving Thue equations. We give here an overview of the methods for solving these equations. We also consider binomial Thue equations that we shall apply in the sequel in pure quartic fields (Sect. .).作者: placebo 時間: 2025-3-24 17:27 作者: 脆弱帶來 時間: 2025-3-24 21:45 作者: glisten 時間: 2025-3-25 00:00 作者: 溺愛 時間: 2025-3-25 06:31
The Resolution of Norm Form Equations,n of norm form equations was not investigated formerly. Our purpose is now to fill this gap and to give an efficient method for solving norm form equations under general conditions. The reason to include this algorithm in this book is that we use the same tools of Chap. . as for the above types of Thue equations.作者: NEEDY 時間: 2025-3-25 08:36 作者: myopia 時間: 2025-3-25 15:02 作者: apiary 時間: 2025-3-25 16:18 作者: 制度 時間: 2025-3-25 23:18
Robotic Experiments and Comparisonscalled . of type . (cf. Eq. (2.5)) with given algebraic ., ., where ., . are unknown units in a number field. These units are written as a power product of the generators of the unit group and the unknown exponents are to be determined. Baker’s method (Sect. 2.1) is used to give an initial upper bou作者: 愛社交 時間: 2025-3-26 01:32
A Computational Model for the Insect Brain, and .) we shall need to solve equations of type . where we assume that ., where . and 0?
作者: 領(lǐng)帶 時間: 2025-3-26 06:07
https://doi.org/10.1007/978-3-030-84083-9d in effective form by Kotov and Sprindzuk (Dokl Akad Nauk BSSR 17:393–395, 477, 1973). This equation is a direct analogue of (.) in the relative case, when the ground ring is . instead of .. The equation given in this form has only finitely many solutions. Relative Thue equations are often consider作者: crumble 時間: 2025-3-26 11:54
Spatial Tensions in Urban Designn of norm form equations was not investigated formerly. Our purpose is now to fill this gap and to give an efficient method for solving norm form equations under general conditions. The reason to include this algorithm in this book is that we use the same tools of Chap. . as for the above types of T作者: Peculate 時間: 2025-3-26 14:47
Spatial Tensions in Urban Designn properties, makes the resolution of index form equations much easier. In the numerical examples the field . is often the composite of its subfields. This special case is considered in Sect. .. The general results on composite fields have several applications, see for example Sects. ., ., ., and ..作者: 喚醒 時間: 2025-3-26 18:52
Peter A. Stine,Carolyn T. Hunsakeror computing power integral bases in cubic fields..This is an easy case, just a routine matter, but it has initiated an exciting project, to extend the computations to higher degree fields..In Sect. . we also involve the infinite parametric family of simplest cubic fields, in which, thanks to the re作者: transdermal 時間: 2025-3-27 00:38
Geoffrey Edwards,Marie-Josée Fortinbles. The resolution of such an equation can yield a difficult problem. The main goal of this chapter is to point out that in the quartic case the index form equation can be reduced to a cubic and some corresponding quartic Thue equations (see Sect. .). This means that in fact the index form equatio作者: –DOX 時間: 2025-3-27 04:03
Marie-Josée Fortin,Geoffrey Edwards quintic fields. In the most interesting case, for totally real quintic fields with Galois group .., .., or .., this computation takes several hours, contrary to the cubic and quartic cases, where to solve the index form equation was the matter of seconds or at most some minutes. The general method 作者: 宿醉 時間: 2025-3-27 09:00
Probabilistic Projection in Planningds to calculate generators of power integral bases in case the sextic field admits some additional property, making the index form equation easier. We have efficient algorithms for sextic fields having quadratic or cubic subfields (see Sects. 11.2 and 11.3). Investigating the structure of the index 作者: 顯而易見 時間: 2025-3-27 10:47 作者: 有特色 時間: 2025-3-27 17:07 作者: Foreknowledge 時間: 2025-3-27 20:49
Roberto Casati,Achille C. Varzi in the extension field by using the relative power integral bases..In Sect. . we describe a relative analogue of the method of Sect. . to calculate relative power integral bases in relative quartic extensions. Applying this method in Sect. . we consider power integral bases in octic fields with qua作者: 不可比擬 時間: 2025-3-27 22:49 作者: puzzle 時間: 2025-3-28 03:22
https://doi.org/10.1007/978-3-030-23865-0Algebraic Number Theory; Algorithmic Analysis; number theory; Diophantine equation; Diophantine equation作者: 逃避系列單詞 時間: 2025-3-28 06:27 作者: 慢慢啃 時間: 2025-3-28 12:09 作者: 外形 時間: 2025-3-28 17:37
Spatial Tensions in Urban Designn properties, makes the resolution of index form equations much easier. In the numerical examples the field . is often the composite of its subfields. This special case is considered in Sect. .. The general results on composite fields have several applications, see for example Sects. ., ., ., and ..作者: 方舟 時間: 2025-3-28 19:43
Probabilistic Projection in Planningction of the integral basis in . allows us to give conditions on the monogenity of .. We follow the presentation of Gaál and Remete (J Number Theory 173:129–146, 2017). We consider pure cubic, quartic, sextic, and octic fields in detail.作者: 寬容 時間: 2025-3-28 23:19 作者: MEEK 時間: 2025-3-29 06:04 作者: 商議 時間: 2025-3-29 09:28
A Computational Model for the Insect Brain determine generators of power integral bases. As we shall see, this algorithmic problem is satisfactorily solved for lower degree number fields (especially for cubic and quartic fields) and there are efficient methods for certain classes of higher degree fields. Our algorithms enable us in many cas作者: 1分開 時間: 2025-3-29 12:18 作者: 起草 時間: 2025-3-29 17:00
Geoffrey Edwards,Marie-Josée Fortin..Finally, in Sect. . we show that index form equations in pure quartic fields lead to binomial Thue equations..Interesting tables about the distribution of minimal indices and about the average behavior of minimal indices of quartic fields can be found in the tables of Sects. . and ., respectively.作者: 察覺 時間: 2025-3-29 21:43
Probabilistic Projection in Planninge show some interesting applications of the results of Sect. . on composite fields. We close the chapter by investigating power integral bases in the infinite parametric family of simplest sextic fields (Sect. 11.5).作者: BLAND 時間: 2025-3-30 03:01 作者: 名義上 時間: 2025-3-30 04:38
https://doi.org/10.1007/978-94-017-3046-4mber fields up to discriminants 10. and 10., respectively, with all possible generators of power integral bases are given in Sects. . and ., respectively. Monogenity data are given in a large number of further quartic fields in Sect. ...The five totally real cyclic sextic fields with smallest discri作者: 散步 時間: 2025-3-30 11:21 作者: certitude 時間: 2025-3-30 15:33 作者: 種植,培養(yǎng) 時間: 2025-3-30 19:43 作者: 起來了 時間: 2025-3-30 21:05
Sextic Fields,e show some interesting applications of the results of Sect. . on composite fields. We close the chapter by investigating power integral bases in the infinite parametric family of simplest sextic fields (Sect. 11.5).作者: Trigger-Point 時間: 2025-3-31 03:31
Quartic Relative Extensions,nsions of imaginary quadratic fields. Then the calculation is easier and we obtain results on a wider class of number fields. In Sect. . we consider relative and absolute power integral bases of pure quartic extensions of imaginary quadratic fields..In Sect. . we consider monogenity in there infinit作者: wreathe 時間: 2025-3-31 07:00 作者: 小爭吵 時間: 2025-3-31 12:57 作者: 拱形大橋 時間: 2025-3-31 17:20
