標題: Titlebook: Binary Quadratic Forms; Classical Theory and Duncan A. Buell Book 1989 Springer-Verlag New York Inc. 1989 Arithmetic.Finite.algebra.calculu [打印本頁] 作者: Precise 時間: 2025-3-21 16:36
書目名稱Binary Quadratic Forms影響因子(影響力)
作者: Spinal-Tap 時間: 2025-3-21 23:41
Indefinite Forms,al again being the determination of canonical forms for the equivalence classes. In the case of negative discriminants, the “reduced” forms are essentially unique in a given equivalence class. For positive discriminants, however, it is not only the case that many reduced forms can lie in the same cl作者: Distribution 時間: 2025-3-22 04:02
The Class Group,d . exist so that . represents ., that is, . = . + . + .. This is a . if gcd(.,.) = 1. If the representation is primitive, then integers . and . exist so that . ? . = 1. Then . is equivalent to a form .′ = (., ., .), where .′ is obtained from . by using the transformation . and equations (1.2). We n作者: 祖?zhèn)髫敭a(chǎn) 時間: 2025-3-22 05:36 作者: Amylase 時間: 2025-3-22 11:45 作者: 莎草 時間: 2025-3-22 16:32
The 2-Sylow Subgroup,ected, in the case of positive discriminant, with the question of which discriminants Δ possess solutions of the negative Pell equation . and both questions are related for all discriminants to the existence of higher-order reciprocity laws analogous to the law of quadratic reciprocity. The connecti作者: 散開 時間: 2025-3-22 18:28
- teenth century, as the theory of ideals and the rudiments of algebraic number theory were developed, it became clear that this theory of bi- nary quadratic forms, so elementary and computationally explicit, was indeed just a special case of a much more elega,nt and abstract theory which, unfortuna作者: 讓空氣進入 時間: 2025-3-22 22:21 作者: vasospasm 時間: 2025-3-23 03:04 作者: outskirts 時間: 2025-3-23 07:06
Globalisierung und Weltpolitik,eger coefficients and determinant ., then the change of variables (1.1) takes a form . = (., ., .) of discriminant Δ to a form . of discriminant Δ.. In matrix notation this is . which we will write as . = R. for brevity. We shall call such a matrix . a . and shall say that . is derived from . by the transformation of determinant ..作者: 蛛絲 時間: 2025-3-23 11:45 作者: 漂白 時間: 2025-3-23 16:51
Miscellaneous Facts, ambiguous forms. Thus, the groups for discriminants ?39, ?55, ?63, ?155, ?56, ?68, and ?80 are cyclic, while the groups of discriminants ?84 and ?96 are not. The structure of these groups then determines the multiplication table completely.作者: ANTIC 時間: 2025-3-23 18:04 作者: ICLE 時間: 2025-3-23 23:38
https://doi.org/10.1007/978-3-531-90181-7ote that the choice of .′ is not unique, but that different values of . differ by multiples of 2., and thus the different choices lead to equivalent forms. That is, modulo 2., a unique . is determined from (.,.) such that 作者: DEBT 時間: 2025-3-24 05:11 作者: esthetician 時間: 2025-3-24 07:20 作者: 諂媚于人 時間: 2025-3-24 11:22 作者: Talkative 時間: 2025-3-24 18:10
Internationale Politik studierenFor the benefit of less experienced readers, we repeat some basic definitions of abstract algebra. A . is a pair (., +.) in which . is a set and +. is a closed associative binary operation on . for which the following hold:作者: 信徒 時間: 2025-3-24 22:26 作者: Aphorism 時間: 2025-3-25 01:59
https://doi.org/10.1007/978-3-531-90722-2In the opening paragraphs of Article 329 of the ., Gauss, a master at calculating, writes [pp. 396–397],作者: 蝕刻 時間: 2025-3-25 05:58 作者: 高射炮 時間: 2025-3-25 08:50 作者: 連系 時間: 2025-3-25 13:57
Miscellaneous Facts II,We shall consider in this chapter some basic topics, some of which are clearly interrelated.作者: 共同時代 時間: 2025-3-25 15:53
Factoring with Binary Quadratic Forms,In the opening paragraphs of Article 329 of the ., Gauss, a master at calculating, writes [pp. 396–397],作者: Fallibility 時間: 2025-3-25 20:35
Elementary Concepts,, ?) or (., ?, ?) if the second or second and third coefficients are irrelevant or unknown or are easily computed by the discriminant formula. Note that Δ ≡ 1 or Δ ≡ 0 (mod 4) is necessary and that . ≡ Δ (mod 2). Generally assume also that we are dealing with . forms, for which gcd(., ., .) = 1.作者: 線 時間: 2025-3-26 01:55
https://doi.org/10.1007/978-3-531-90181-7, ?) or (., ?, ?) if the second or second and third coefficients are irrelevant or unknown or are easily computed by the discriminant formula. Note that Δ ≡ 1 or Δ ≡ 0 (mod 4) is necessary and that . ≡ Δ (mod 2). Generally assume also that we are dealing with . forms, for which gcd(., ., .) = 1.作者: colony 時間: 2025-3-26 06:56 作者: sparse 時間: 2025-3-26 09:47
978-1-4612-8870-1Springer-Verlag New York Inc. 1989作者: Hallowed 時間: 2025-3-26 13:56 作者: antipsychotic 時間: 2025-3-26 20:13 作者: 虛度 時間: 2025-3-26 21:43
Globalisierung und Weltpolitik,al again being the determination of canonical forms for the equivalence classes. In the case of negative discriminants, the “reduced” forms are essentially unique in a given equivalence class. For positive discriminants, however, it is not only the case that many reduced forms can lie in the same cl作者: 未成熟 時間: 2025-3-27 03:38 作者: Metamorphosis 時間: 2025-3-27 07:47
https://doi.org/10.1007/978-3-531-90181-7, only cyclic groups are possible. For class number 4, only the cyclic or Klein 4-groups are possible, and these can be distinguished by the number of ambiguous forms. Thus, the groups for discriminants ?39, ?55, ?63, ?155, ?56, ?68, and ?80 are cyclic, while the groups of discriminants ?84 and ?96 作者: cortex 時間: 2025-3-27 09:54 作者: 不朽中國 時間: 2025-3-27 16:18
https://doi.org/10.1007/978-3-531-90181-7ected, in the case of positive discriminant, with the question of which discriminants Δ possess solutions of the negative Pell equation . and both questions are related for all discriminants to the existence of higher-order reciprocity laws analogous to the law of quadratic reciprocity. The connecti作者: Explosive 時間: 2025-3-27 21:32
https://doi.org/10.1007/978-3-531-90181-7 the discriminant, and a class which represents a prime . dividing Δ also represents Δ/., so the 2-Sylow subgroup can only be elementary if no prime factor of Δ is a quadratic residue of all the other prime factors of Δ (For the sake of argument, we ignore for the moment the extra characters . and .作者: crescendo 時間: 2025-3-27 23:27
The 2-Sylow Subgroup, the discriminant, and a class which represents a prime . dividing Δ also represents Δ/., so the 2-Sylow subgroup can only be elementary if no prime factor of Δ is a quadratic residue of all the other prime factors of Δ (For the sake of argument, we ignore for the moment the extra characters . and .作者: CHECK 時間: 2025-3-28 03:57 作者: LAVE 時間: 2025-3-28 07:55 作者: 安定 時間: 2025-3-28 14:19
luid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.978-3-0348-9689-4978-3-0348-8579-9Series ISSN 0373-3149 Series E-ISSN 2296-6072 作者: 有常識 時間: 2025-3-28 16:41
Book 2002nued over a rela- tively long term. It is now recognized that ecological processes include compli- cated mechanisms supported by interactions among organisms and large temporal variations. The researchers in the OFR project were motivated by their interest in the history of ecosystems and the intera作者: AGOG 時間: 2025-3-28 21:38 作者: intoxicate 時間: 2025-3-29 01:33
Aufgabenstellungen,tlicht die in der Gesamtbaugruppe enthaltenen Unterbaugruppen und Einzelteile. Zus?tzlich ist die Baugruppe . in der Abbildung 3–2 als Explosionsdarstellung abgebildet, um die in der Baugruppe enthaltenen Einzelteile, sichtbar zu machen.作者: 苦惱 時間: 2025-3-29 05:39
2731-6386 m, as shaped by the intellectual and international forces of the day. This interplay is designed to inform international curriculum studies across national borders.978-1-137-53538-2Series ISSN 2731-6386 Series E-ISSN 2731-6394
