派博傳思國際中心

標(biāo)題: Titlebook: Basic Number Theory.; André Weil Book 19732nd edition Springer-Verlag Berlin Heidelberg 1973 Cantor.Mathematica.number theory [打印本頁]

作者: Enclosure    時間: 2025-3-21 18:30
書目名稱Basic Number Theory.影響因子(影響力)




書目名稱Basic Number Theory.影響因子(影響力)學(xué)科排名




書目名稱Basic Number Theory.網(wǎng)絡(luò)公開度




書目名稱Basic Number Theory.網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Basic Number Theory.被引頻次




書目名稱Basic Number Theory.被引頻次學(xué)科排名




書目名稱Basic Number Theory.年度引用




書目名稱Basic Number Theory.年度引用學(xué)科排名




書目名稱Basic Number Theory.讀者反饋




書目名稱Basic Number Theory.讀者反饋學(xué)科排名





作者: 鋸齒狀    時間: 2025-3-21 20:42

作者: voluble    時間: 2025-3-22 02:33

作者: 來這真柔軟    時間: 2025-3-22 08:37

作者: Fermentation    時間: 2025-3-22 12:32
The theorem of Riemann-Roch the infinite ones, singled out by intrinsic properties. It would be possible to develop an analogous theory for .-fields of characteristic . >1 by arbitrarily setting apart a finite number of places; this was the point of view adopted by Dedekind and Weber in the early stages of the theory. Whichev
作者: 考古學(xué)    時間: 2025-3-22 16:24
Zeta-functions of A-fields at .; if . is a finite place, .. is the maximal compact subring of .., and .. the maximal ideal in ... Moreover, in the latter case, we will agree once for all to denote by .. the module of the field .. and by .. a prime element of .., so that, by th. 6 of Chap. I–4, .... is a field with .. element
作者: Ligneous    時間: 2025-3-22 19:53
Traces and norms finite degree . over .. If . is an .-field and ., we must have .., .., . 2; then, by corollary 3 of prop. 4, Chap. III-3, ....(x) = x+x? and ....(x) . xx?.... maps . onto ., and .... maps .. onto .., which is a subgroup of .. of index 2.
作者: 燒瓶    時間: 2025-3-22 23:54

作者: Coronary    時間: 2025-3-23 03:49

作者: Glaci冰    時間: 2025-3-23 06:24
Simple algebras over A-fieldsncipally concerned with a simple algebra . over .; as stipulated in Chapter IX, it is always understood that . is central, i. e. that its center is ., and that it has a finite dimension over . by corollary 3 of prop. 3, Chap. IX–1, this dimension can then be written as .., where . is an integer = 1.
作者: 容易生皺紋    時間: 2025-3-23 10:09

作者: 現(xiàn)存    時間: 2025-3-23 17:11
Lattices and duality over local fieldsates, one sees that all linear mappings of such spaces into one another are continuous; in particular, linear forms are continuous. Similarly, every injective linear mapping of such a space . into another is an isomorphism of . onto its image. As . is not compact, no subspace of . can be compact, except {0}.
作者: 預(yù)測    時間: 2025-3-23 21:59

作者: 事與愿違    時間: 2025-3-24 00:21
List of Scientific and Common Names,te dimension ?, and the number of its elements is ... If . is a subfield of a field .; with ... elements, .; may also be regarded e.g. as a left vector-space over .; if its dimension as such is ., we have . and .....
作者: 牌帶來    時間: 2025-3-24 03:57
Herrschaft - Staat - Mitbestimmungcan be done may be applied with very little change to certain fields of characteristic . >1; and the simultaneous study of these two types of fields throws much additional light on both of them. With this in mind, we introduce as follows the fields which will be considered from now on:
作者: prostate-gland    時間: 2025-3-24 08:36
,Herrschaft und moderne Subjektivit?t,ords, if . is such a homo-morphism, and . ∈ ., we write . for the image of . under .. We consider Hom(.), in an obvious manner, as a vector-space over .; as such, it has a finite dimension, since it is a subspace of the space of .-linear mappings of . into .. As usual, we write End (.) for Hom(.).
作者: Abduct    時間: 2025-3-24 12:51
Locally compact fieldste dimension ?, and the number of its elements is ... If . is a subfield of a field .; with ... elements, .; may also be regarded e.g. as a left vector-space over .; if its dimension as such is ., we have . and .....
作者: 制定法律    時間: 2025-3-24 18:17

作者: Synthesize    時間: 2025-3-24 22:33
Simple algebras over local fieldsords, if . is such a homo-morphism, and . ∈ ., we write . for the image of . under .. We consider Hom(.), in an obvious manner, as a vector-space over .; as such, it has a finite dimension, since it is a subspace of the space of .-linear mappings of . into .. As usual, we write End (.) for Hom(.).
作者: 哄騙    時間: 2025-3-25 02:13

作者: abolish    時間: 2025-3-25 06:22

作者: indifferent    時間: 2025-3-25 07:36
The theorem of Riemann-Rocho algebraic geometry; this lies outside the scope of this book. The results to be given here should be regarded chiefly as an illustration for the methods developed above and as an introduction to a more general theory.
作者: 陳舊    時間: 2025-3-25 15:29
Simple algebrashe same properties. Tensor-products will be understood to be taken over the groundfield ; thus we write .?. instead of .?.. when . are algebras over ., and .?. or .., instead of .?.., when . is an algebra over . and . a field containing .. being always considered as an algebra over ..
作者: right-atrium    時間: 2025-3-25 18:50

作者: nocturia    時間: 2025-3-25 20:49

作者: 內(nèi)閣    時間: 2025-3-26 02:04

作者: Inferior    時間: 2025-3-26 06:13
Simple algebras over A-fields; the algebra .(.) is uniquely determined up to an isomorphism, and .(.) and .(.) are uniquely determined. One says that . is . or . at . according as .. is trivial over .. or not, i. e. according as .(.) =1 or .(.)>1.
作者: Ruptured-Disk    時間: 2025-3-26 09:19
Global classfield theory–1, for that of ?. into ?. We write .. for the group of characters of ?, or, what amounts to the same, of ?; for each . ∈ .., we write ..=.°.. this is a character of ?., or, what amounts to the same, of ?..
作者: overwrought    時間: 2025-3-26 15:10
Herrschaft - Staat - Mitbestimmungor all . not in . If . is also a finite set of places of ., and .., then ..(.) is contained in ..(.); moreover, its topology and its ring structure are those induced by those of ..(.) and ..(.) is an open subset of ..(.).
作者: 苦惱    時間: 2025-3-26 20:04

作者: Amylase    時間: 2025-3-26 22:07

作者: 脆弱么    時間: 2025-3-27 03:24
Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/b/image/181085.jpg
作者: HILAR    時間: 2025-3-27 06:07
Basic Number Theory.978-3-662-05978-4Series ISSN 0072-7830 Series E-ISSN 2196-9701
作者: 熔巖    時間: 2025-3-27 13:17
0072-7830 Overview: 978-3-662-05978-4Series ISSN 0072-7830 Series E-ISSN 2196-9701
作者: Tincture    時間: 2025-3-27 15:21
Janusz Biene,Daniel Kaiser,Holger Marcks finite degree . over .. If . is an .-field and ., we must have .., .., . 2; then, by corollary 3 of prop. 4, Chap. III-3, ....(x) = x+x? and ....(x) . xx?.... maps . onto ., and .... maps .. onto .., which is a subgroup of .. of index 2.
作者: 腐蝕    時間: 2025-3-27 20:17
List of Scientific and Common Names,morphic to the prime field ..=./.., with which we may identify it. Then . may be regarded as a vector-space over ..; as such, it has an obviously finite dimension ?, and the number of its elements is ... If . is a subfield of a field .; with ... elements, .; may also be regarded e.g. as a left vecto
作者: Engulf    時間: 2025-3-27 23:56
https://doi.org/10.1007/978-1-4939-0736-6an obvious way to right vector-spaces. Only vector-spaces of finite dimension will occur; it is understood that these are always provided with their “natural topology” according to corollary 1 of th. 3, Chap. I–2. By th. 3 of Chap. I–2, every subspace of such a space . is closed in .. Taking coordin
作者: 廢墟    時間: 2025-3-28 02:38
Herrschaft - Staat - Mitbestimmunglgebraic number-fields by means of their embeddings into local fields. In the last century, however, it was discovered that the methods by which this can be done may be applied with very little change to certain fields of characteristic . >1; and the simultaneous study of these two types of fields t
作者: glomeruli    時間: 2025-3-28 09:45

作者: 獨輪車    時間: 2025-3-28 10:51

作者: 字的誤用    時間: 2025-3-28 17:56
https://doi.org/10.1007/978-3-658-16096-8 at .; if . is a finite place, .. is the maximal compact subring of .., and .. the maximal ideal in ... Moreover, in the latter case, we will agree once for all to denote by .. the module of the field .. and by .. a prime element of .., so that, by th. 6 of Chap. I–4, .... is a field with .. element
作者: Ganglion    時間: 2025-3-28 20:20

作者: 羽飾    時間: 2025-3-29 00:11

作者: nonsensical    時間: 2025-3-29 04:27
,Herrschaft und moderne Subjektivit?t,inite and <0. If . and . are such spaces, we write Hom(.) for the space of homomorphisms of . into .. and let it operate on the right on .; in other words, if . is such a homo-morphism, and . ∈ ., we write . for the image of . under .. We consider Hom(.), in an obvious manner, as a vector-space over
作者: 毛細血管    時間: 2025-3-29 08:15

作者: LATHE    時間: 2025-3-29 14:12
Andreas Ruppert,Hansj?rg Riechert ., and, for each place . of ., an algebraic closure .. of .., containing .. We write .., ... for the maximal se?parable extensions of . in ., and of .. in .., respectively. We write .., ..,. for the maximal abelian extensions of . in .., and of .. in ..,., respectively. One could easily deduce from
作者: 賞錢    時間: 2025-3-29 16:01

作者: Progesterone    時間: 2025-3-29 23:48
Springer-Verlag Berlin Heidelberg 1973
作者: Myelin    時間: 2025-3-30 03:14

作者: 松軟無力    時間: 2025-3-30 05:53

作者: 妨礙    時間: 2025-3-30 09:35
Algebraic number-fieldsWe shall need some elementary results about vector-spaces over ., involving the following concept:




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