標(biāo)題: Titlebook: Cyclotomic Fields I and II; Serge Lang Textbook 1990Latest edition Springer Science+Business Media New York 1990 Cohomology.Prime.algebra. [打印本頁(yè)] 作者: cerebral 時(shí)間: 2025-3-21 19:18
書目名稱Cyclotomic Fields I and II影響因子(影響力)
書目名稱Cyclotomic Fields I and II影響因子(影響力)學(xué)科排名
書目名稱Cyclotomic Fields I and II網(wǎng)絡(luò)公開(kāi)度
書目名稱Cyclotomic Fields I and II網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書目名稱Cyclotomic Fields I and II被引頻次
書目名稱Cyclotomic Fields I and II被引頻次學(xué)科排名
書目名稱Cyclotomic Fields I and II年度引用
書目名稱Cyclotomic Fields I and II年度引用學(xué)科排名
書目名稱Cyclotomic Fields I and II讀者反饋
書目名稱Cyclotomic Fields I and II讀者反饋學(xué)科排名
作者: 慢跑鞋 時(shí)間: 2025-3-21 21:05
The ,-adic ,-function,rive further analytic properties, which allow us to make explicit its value at . = 1, thereby obtaining Leopoldt’s formula in the .-adic case, analogous to that of the complex case. We also give Leopoldt’s version of the .-adic class number formula and regulator.作者: 易于交談 時(shí)間: 2025-3-22 03:12 作者: Observe 時(shí)間: 2025-3-22 06:05 作者: 制度 時(shí)間: 2025-3-22 10:23
0072-5285 rt, Takagi, Artin and others. However, the success of this general theory has tended to obscure special facts proved by Kummer about cyclotomic fields which lie deeper than the general theory. For a long period in the 20th century this aspect of Kummer‘s work seems to have been largely forgotten, ex作者: LINE 時(shí)間: 2025-3-22 15:02 作者: LINE 時(shí)間: 2025-3-22 21:04 作者: Reservation 時(shí)間: 2025-3-22 22:18 作者: 吹牛需要藝術(shù) 時(shí)間: 2025-3-23 05:03
The Elephant’s I: Looking for Abu’l Abbas can be used to construct explicitly such eigenspaces. The first section lays the foundations for the special type of ring under consideration. After that we study the Artin-Schreier equation and the Frobenius endomorphism.作者: 怎樣才咆哮 時(shí)間: 2025-3-23 07:29 作者: ADORE 時(shí)間: 2025-3-23 13:23 作者: 歌劇等 時(shí)間: 2025-3-23 17:49
Textbook 1990Latest edition, Artin and others. However, the success of this general theory has tended to obscure special facts proved by Kummer about cyclotomic fields which lie deeper than the general theory. For a long period in the 20th century this aspect of Kummer‘s work seems to have been largely forgotten, except for a作者: tenosynovitis 時(shí)間: 2025-3-23 20:37
0072-5285 arious p-adic analogues of the classical complex analytic class number formulas. In particular, this led him to introduce, with Kubota, p-adic analogues of the 978-1-4612-6972-4978-1-4612-0987-4Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: GOAT 時(shí)間: 2025-3-23 23:15 作者: 空中 時(shí)間: 2025-3-24 03:17
Cyclotomic Fields I and II978-1-4612-0987-4Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: lymphedema 時(shí)間: 2025-3-24 09:18
Sexual Selection: Evolutionary Foundationsith prime elements in a .-adic field, they construct maximal abelian totally ramified extensions by means of torsion points on formal groups, thus obtaining a merging of class field theory and Kummer theory by means of these groups.作者: 微枝末節(jié) 時(shí)間: 2025-3-24 13:06
Behaviour, Evolution and Life Historiesotomic fields. These were extended by Coates—Wiles [CW 1] and Wiles [Wi] to arbitrary Lubin—Tate groups. Although Wiles follows Iwasawa to a large extent, it turns out his proofs are simpler because of the formalism of the Lubin—Tate formal groups. We essentially reproduce his paper in the present chapter.作者: FLAT 時(shí)間: 2025-3-24 18:08 作者: Anticonvulsants 時(shí)間: 2025-3-24 21:46
Taxidermy’s Literary Biographies Artin-Hasse power series, and the Dwork power series closely related to it. The latter allows us to obtain an analytic representation of .-th roots of unity, which reappear later in the context of gauss sums, occurring as eigenvalues of .-adic completely continuous operators. Cf. Dwork’s papers in the bibliography.作者: CRUMB 時(shí)間: 2025-3-24 23:14
Taxidermy’s Literary Biographies, Ron Evans has pointed out to me that Howard Mitchell [Mi] in 1916 considered Jacobi sums in connection with the number of points of the Fermat curve in arbitrary finite fields, and proved the first Davenport Hasse relation between Jacobi sums in a finite field and in a finite extension.作者: 鋼筆記下懲罰 時(shí)間: 2025-3-25 05:27
Lubin-Tate Theory,ith prime elements in a .-adic field, they construct maximal abelian totally ramified extensions by means of torsion points on formal groups, thus obtaining a merging of class field theory and Kummer theory by means of these groups.作者: 商業(yè)上 時(shí)間: 2025-3-25 09:02
Explicit Reciprocity Laws,otomic fields. These were extended by Coates—Wiles [CW 1] and Wiles [Wi] to arbitrary Lubin—Tate groups. Although Wiles follows Iwasawa to a large extent, it turns out his proofs are simpler because of the formalism of the Lubin—Tate formal groups. We essentially reproduce his paper in the present chapter.作者: arrogant 時(shí)間: 2025-3-25 13:29 作者: HEPA-filter 時(shí)間: 2025-3-25 16:56
-adic Preliminaries, Artin-Hasse power series, and the Dwork power series closely related to it. The latter allows us to obtain an analytic representation of .-th roots of unity, which reappear later in the context of gauss sums, occurring as eigenvalues of .-adic completely continuous operators. Cf. Dwork’s papers in the bibliography.作者: 預(yù)感 時(shí)間: 2025-3-25 21:45 作者: nurture 時(shí)間: 2025-3-26 00:35 作者: 共和國(guó) 時(shí)間: 2025-3-26 04:22
Acoustic Communication Under the Sea), of higher .-groups (Coates—Sinnott [Co 1], [Co 2], [C—S]) has led to purely algebraic theorems concerned with group rings and certain ideals, formed with Bernoulli numbers (somewhat generalized, as by Leopoldt). Such ideals happen to annihilate these groups, but in many cases it is still conjectu作者: Onerous 時(shí)間: 2025-3-26 11:05 作者: 連累 時(shí)間: 2025-3-26 15:22 作者: LAPSE 時(shí)間: 2025-3-26 20:31 作者: 信徒 時(shí)間: 2025-3-26 21:18
Behaviour, Evolution and Life Historiesotomic fields. These were extended by Coates—Wiles [CW 1] and Wiles [Wi] to arbitrary Lubin—Tate groups. Although Wiles follows Iwasawa to a large extent, it turns out his proofs are simpler because of the formalism of the Lubin—Tate formal groups. We essentially reproduce his paper in the present c作者: 重畫只能放棄 時(shí)間: 2025-3-27 04:24
https://doi.org/10.1007/978-3-642-02624-9 ∈. and γ equal to a topological generator of 1+ .. a measure on 1+. then corresponds to a measure on ., and we give realations between their associated power series. This is then applied to express Bernoulli numbers. as values of power series.作者: EXUDE 時(shí)間: 2025-3-27 07:49
Vocal communication in social groupsent chapter, which could (and should) have been done immediately following Chapter 4. In all this work, a prime . is given a special role. Values of functions lie in .. In dealing with this composite case, it is also useful to follow Katz, and associate to a measure not only a power series, but an a作者: inchoate 時(shí)間: 2025-3-27 12:58 作者: 冒煙 時(shí)間: 2025-3-27 13:57
Taxidermy’s Literary Biographies, Ron Evans has pointed out to me that Howard Mitchell [Mi] in 1916 considered Jacobi sums in connection with the number of points of the Fermat curve in arbitrary finite fields, and proved the first Davenport Hasse relation between Jacobi sums in a finite field and in a finite extension.作者: 重力 時(shí)間: 2025-3-27 21:20 作者: 舊式步槍 時(shí)間: 2025-3-27 22:25 作者: Neonatal 時(shí)間: 2025-3-28 03:30
978-1-4612-6972-4Springer Science+Business Media New York 1990作者: 不可知論 時(shí)間: 2025-3-28 09:37 作者: instate 時(shí)間: 2025-3-28 13:56 作者: 增強(qiáng) 時(shí)間: 2025-3-28 16:12
Behaviour, Evolution and Life HistoriesWe shall now study Iwasawa’s theory concerning projective limits in Z.-extensions.作者: 招致 時(shí)間: 2025-3-28 21:30 作者: Epidural-Space 時(shí)間: 2025-3-28 23:21
F. Bernhard Kraus,Robin F.A. MoritzIn this chapter we prove that the Iwasawa congruences cannot be satisfied, thus giving a bound for the divisibility of Bernoulli numbers with characters, and hence a bound for the divisibility of the corresponding class numbers with respect to certain primes.作者: Control-Group 時(shí)間: 2025-3-29 05:46
The Elephant’s I: Looking for Abu’l AbbasClassical results of Kummer give bounds for certain class numbers and estimate, for instance, the plus part in terms of the minus part for cyclotomic fields.作者: 分發(fā) 時(shí)間: 2025-3-29 10:21
Intervention, humility and animal integrityThe Stickelberger theorem giving the factorization of Gauss sums, the Gross-Koblitz formula, and the Davenport-Hasse distribution relations will be combined to interpret Gauss sums as universal odd distributions (Yamamoto’s theorem).作者: ALLAY 時(shí)間: 2025-3-29 14:29
Character Sums,Character sums occur all over the place in many different roles. In this chapter they will be used at once to represent certain principal ideals, thus giving rise to annihilators in a group ring for ideal classes in cyclotomic fields.作者: 詞匯表 時(shí)間: 2025-3-29 17:56 作者: BLOT 時(shí)間: 2025-3-29 21:27
Iwasawa Theory and Ideal Class Groups,We shall now study Iwasawa’s theory concerning projective limits in Z.-extensions.作者: tattle 時(shí)間: 2025-3-30 00:53
Kummer Theory over Cyclotomic Zp-extensions,In the last chapter we studied the ideal class groups in a Z.-extension of a number field. Here we shall consider especially the cyclotomic Z.-extension, and then Kummer extensions above it, as in Iwasawa [Iw 12], obtained by adjoining .th roots of units, .-units, and ideal classes of .-power order.作者: constitute 時(shí)間: 2025-3-30 04:06
,The Ferrero—Washington Theorems,In this chapter we prove that the Iwasawa congruences cannot be satisfied, thus giving a bound for the divisibility of Bernoulli numbers with characters, and hence a bound for the divisibility of the corresponding class numbers with respect to certain primes.作者: FER 時(shí)間: 2025-3-30 11:02
Divisibility of Ideal Class Numbers,Classical results of Kummer give bounds for certain class numbers and estimate, for instance, the plus part in terms of the minus part for cyclotomic fields.作者: 窩轉(zhuǎn)脊椎動(dòng)物 時(shí)間: 2025-3-30 12:49 作者: osteocytes 時(shí)間: 2025-3-30 17:31
Stickelberger Ideals and Bernoulli Distributions,), of higher .-groups (Coates—Sinnott [Co 1], [Co 2], [C—S]) has led to purely algebraic theorems concerned with group rings and certain ideals, formed with Bernoulli numbers (somewhat generalized, as by Leopoldt). Such ideals happen to annihilate these groups, but in many cases it is still conjectu作者: 不近人情 時(shí)間: 2025-3-30 22:50 作者: 可耕種 時(shí)間: 2025-3-31 02:56 作者: GRAVE 時(shí)間: 2025-3-31 05:30 作者: vertebrate 時(shí)間: 2025-3-31 09:38 作者: intention 時(shí)間: 2025-3-31 14:32 作者: 盲信者 時(shí)間: 2025-3-31 18:05 作者: hangdog 時(shí)間: 2025-4-1 01:02 作者: 雪上輕舟飛過(guò) 時(shí)間: 2025-4-1 03:52 作者: arthroscopy 時(shí)間: 2025-4-1 06:36
Gauss Sums and the Artin-Schreier Curve,omorphisms of the Artin-Schreier curve. This connects Dwork theory, the Washnitzer-Monsky theory, and the fact realized by Monsky that the series .(.) can be used to construct explicitly such eigenspaces. The first section lays the foundations for the special type of ring under consideration. After 作者: scoliosis 時(shí)間: 2025-4-1 10:26
Kenji F. Tanakaling progresses. Even the lack of observed pulsations in the hottest white dwarfs is leading to re-evaluation of models of their structure. All of this success is rooted in the analysis of the basic pulsation spectra; the rich observed variations on this “l(fā)inear” theme promise to provide additional 作者: 圍巾 時(shí)間: 2025-4-1 17:43
Hansj?rg Schnabeltoll, arid basin, coastal forest, and alpine range; every city, suburb, and rural county; and every human on earth to low but continuing levels of radiation. Nuclear weapons released levels of radiation that had never existed on earth before, to which no organism or community had ever been exposed. 作者: 小木槌 時(shí)間: 2025-4-1 19:50
0172-4770 rticular its relationship to power, actors such as the International Law Commission and international judges, and specific fields, including international human rights, humanitarian, criminal, tax and investment law..978-3-662-62130-1978-3-662-62128-8Series ISSN 0172-4770 Series E-ISSN 2197-7135 作者: 現(xiàn)實(shí) 時(shí)間: 2025-4-1 23:51
Environmental Biology of Percid Fishesrn Hemisphere. In this chapter, we provide an overview of the environmental biology of the . (including yellow perch . and Eurasian perch .) and . (including walleye ., pikeperch ., and sauger .) genera, on which the majority of fisheries and aquaculture practices are focused. Through a comprehensiv作者: 群居動(dòng)物 時(shí)間: 2025-4-2 05:37 作者: 摻假 時(shí)間: 2025-4-2 10:55
