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標(biāo)題: Titlebook: Algebraic Number Theory; Serge Lang Textbook 19861st edition Springer Science+Business Media New York 1986 algebraic number theory.analyti [打印本頁(yè)]

作者: Entangle    時(shí)間: 2025-3-21 16:56
書目名稱Algebraic Number Theory影響因子(影響力)




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




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




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




書目名稱Algebraic Number Theory被引頻次




書目名稱Algebraic Number Theory被引頻次學(xué)科排名




書目名稱Algebraic Number Theory年度引用




書目名稱Algebraic Number Theory年度引用學(xué)科排名




書目名稱Algebraic Number Theory讀者反饋




書目名稱Algebraic Number Theory讀者反饋學(xué)科排名





作者: Eeg332    時(shí)間: 2025-3-21 21:22
The Ideal Function fractional ideals (which we say from now on, instead of non-zero ideals, unless otherwise specified), then we write a ~ b (a is equivalent to b) if there exists α ? . such that a = (α)b, i.e. ab. is a principal fractional ideal. Then the equivalence classes of fractional ideals form a finite group
作者: carbohydrate    時(shí)間: 2025-3-22 02:00

作者: Monocle    時(shí)間: 2025-3-22 06:59
The Existence Theorem and Local Class Field Theorytensions of .. There are not that many ways of doing this. One general way is to make cyclotomic extensions, and when the n-th roots of unity are in ., to make Kummer extensions, i.e. adjoining .-th roots of elements of .. We shall prove the existence theorem by this method. Deeper methods involving
作者: Statins    時(shí)間: 2025-3-22 09:37

作者: Precursor    時(shí)間: 2025-3-22 14:40

作者: malapropism    時(shí)間: 2025-3-22 19:26

作者: Popcorn    時(shí)間: 2025-3-22 22:52
Classifying and Modeling IoT Behavior,here exists α ? . such that a = (α)b, i.e. ab. is a principal fractional ideal. Then the equivalence classes of fractional ideals form a finite group (as we saw in Chapter V, §1), which we call the .. Its order is usually denoted by ., and is called the. of ..
作者: ALIAS    時(shí)間: 2025-3-23 04:17
Defending the American Presidency, to make Kummer extensions, i.e. adjoining .-th roots of elements of .. We shall prove the existence theorem by this method. Deeper methods involving the values of certain transcendental functions are more significant, but lead into directions which require a whole book to themselves. We first start with the reduction lemma.
作者: innovation    時(shí)間: 2025-3-23 07:12

作者: Locale    時(shí)間: 2025-3-23 12:50
The Existence Theorem and Local Class Field Theory, to make Kummer extensions, i.e. adjoining .-th roots of elements of .. We shall prove the existence theorem by this method. Deeper methods involving the values of certain transcendental functions are more significant, but lead into directions which require a whole book to themselves. We first start with the reduction lemma.
作者: Popcorn    時(shí)間: 2025-3-23 17:13
https://doi.org/10.1007/1-4020-5676-1(corresponding to a multiplicative and additive construction respectively), and their topologies. In each case, we prove a certain compactness theorem, and construct a fundamental domain. Although we use the existence of fundamental domains later, we shall not need any explicit form for them.
作者: Banister    時(shí)間: 2025-3-23 20:00
Ideles and Adeles(corresponding to a multiplicative and additive construction respectively), and their topologies. In each case, we prove a certain compactness theorem, and construct a fundamental domain. Although we use the existence of fundamental domains later, we shall not need any explicit form for them.
作者: 擔(dān)憂    時(shí)間: 2025-3-24 00:04
Cyclotomic Fields exert a great deal of control over algebraic number theory in general. The extent to which they exert this control is in fact not yet clearly understood, but one knows for instance that the heart of the proofs of class field theory is concentrated in the cyclotomic fields.
作者: 招募    時(shí)間: 2025-3-24 04:20
Density of Primes and Tauberian Theoremlized arithmetic progressions determined by Hecke characters. In addition to giving a density for primes in given ideal classes, it also gives densities for primes distributed suitably in Euclidean .-space.
作者: 文字    時(shí)間: 2025-3-24 10:01

作者: malign    時(shí)間: 2025-3-24 14:01

作者: 我要沮喪    時(shí)間: 2025-3-24 18:13

作者: 變異    時(shí)間: 2025-3-24 20:19
Classifying and Modeling IoT Behavior,This chapter gives quantitative results concerning the distribution of elements of a number field in parallelotopes.
作者: 親屬    時(shí)間: 2025-3-25 02:35
https://doi.org/10.1007/1-4020-5676-1We recall the formula for summation by parts. If . and . are sequences of complex numbers, and if we let.be the partial sums, then
作者: 左右連貫    時(shí)間: 2025-3-25 07:21

作者: 責(zé)問    時(shí)間: 2025-3-25 07:32

作者: Flagging    時(shí)間: 2025-3-25 13:33

作者: RODE    時(shí)間: 2025-3-25 17:40
https://doi.org/10.1007/978-981-16-3957-9Let . be a function on .. We shall say that . . if for each positive integer . the function.is bounded for |.| sufficiently large.
作者: Habituate    時(shí)間: 2025-3-25 20:33
https://doi.org/10.1007/978-981-16-3957-9This chapter is essentially Tate’s thesis, which has also appeared (finally) in the Brighton conference volume.
作者: acetylcholine    時(shí)間: 2025-3-26 02:58

作者: 捐助    時(shí)間: 2025-3-26 05:54
Algebraic IntegersThis chapter describes the basic aspects of the ring of algebraic integers in a number field (always assumed to be of finite degree over the rational numbers .). This includes the general prime ideal structure.
作者: 音樂戲劇    時(shí)間: 2025-3-26 08:40

作者: 使困惑    時(shí)間: 2025-3-26 16:26
The Different and DiscriminantThe study of the different and discriminant provides some information on ramified primes, and also gives a sort of duality which plays a role both in the algebraic study of ramification and the later chapters on analytic duality. It also gives a good method for computing the ring of algebraic integers in a number field, as in Proposition 10.
作者: compassion    時(shí)間: 2025-3-26 20:51
ParallelotopesThis chapter gives quantitative results concerning the distribution of elements of a number field in parallelotopes.
作者: 癡呆    時(shí)間: 2025-3-26 21:04

作者: 精密    時(shí)間: 2025-3-27 02:48

作者: Spinous-Process    時(shí)間: 2025-3-27 07:35

作者: 抑制    時(shí)間: 2025-3-27 12:37
-Series AgainLet . be a character of the idele classes . (or equivalently, of ., vanishing on .*), that is a continuous homomorphism./.* → C*,.. Then the kernel . of . is a closed subgroup of finite index, which is therefore open, and has a class field denoted by ..
作者: contrast-medium    時(shí)間: 2025-3-27 15:49

作者: Ballerina    時(shí)間: 2025-3-27 18:07
Functional Equation, Tate’s ThesisThis chapter is essentially Tate’s thesis, which has also appeared (finally) in the Brighton conference volume.
作者: obeisance    時(shí)間: 2025-3-27 22:51
The Brauer-Siegel TheoremUsing the integrals expressing the zeta function, one can give certain estimates concerning its residue in order to derive asymptotic results relating the class number, regulator, and discriminant of a number field, and notably the following.
作者: Arthropathy    時(shí)間: 2025-3-28 04:56
Graduate Texts in Mathematicshttp://image.papertrans.cn/a/image/152687.jpg
作者: 征兵    時(shí)間: 2025-3-28 07:29

作者: forbid    時(shí)間: 2025-3-28 13:33

作者: 修飾    時(shí)間: 2025-3-28 15:32

作者: seruting    時(shí)間: 2025-3-28 21:56
Defending the American Presidencytensions of .. There are not that many ways of doing this. One general way is to make cyclotomic extensions, and when the n-th roots of unity are in ., to make Kummer extensions, i.e. adjoining .-th roots of elements of .. We shall prove the existence theorem by this method. Deeper methods involving
作者: overbearing    時(shí)間: 2025-3-29 01:25
https://doi.org/10.1007/978-981-16-3957-9lized arithmetic progressions determined by Hecke characters. In addition to giving a density for primes in given ideal classes, it also gives densities for primes distributed suitably in Euclidean .-space.
作者: 切割    時(shí)間: 2025-3-29 05:00
https://doi.org/10.1007/978-1-4684-0296-4algebraic number theory; analytic number theory; number theory; zeta function
作者: 立即    時(shí)間: 2025-3-29 08:45

作者: exquisite    時(shí)間: 2025-3-29 13:14
Algebraic Number Theory978-1-4684-0296-4Series ISSN 0072-5285 Series E-ISSN 2197-5612
作者: cartilage    時(shí)間: 2025-3-29 18:29

作者: 憎惡    時(shí)間: 2025-3-29 22:49

作者: SPALL    時(shí)間: 2025-3-30 03:39

作者: restrain    時(shí)間: 2025-3-30 08:05

作者: phytochemicals    時(shí)間: 2025-3-30 09:33
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作者: 最低點(diǎn)    時(shí)間: 2025-3-31 05:36
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