標(biāo)題: Titlebook: Elementary and Analytic Theory of Algebraic Numbers; W?adys?aw Narkiewicz Book 2004Latest edition Springer-Verlag Berlin Heidelberg 2004 A [打印本頁] 作者: Gullet 時(shí)間: 2025-3-21 17:56
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作者: Expiration 時(shí)間: 2025-3-21 23:46 作者: 滲透 時(shí)間: 2025-3-22 04:19
978-3-642-06010-6Springer-Verlag Berlin Heidelberg 2004作者: Defense 時(shí)間: 2025-3-22 05:36 作者: sacrum 時(shí)間: 2025-3-22 11:31
https://doi.org/10.1007/978-3-662-07001-7Algebraic numbers; Prime; class-number; factorizations; number theory; p-adic fields; zeta-functions作者: 蠟燭 時(shí)間: 2025-3-22 13:50
Stefan Altenschmidt,Denise Hellingumber which is integral over the field ? of rational numbers will be called an ., and if it is also integral over the ring ? of rational integers, then it will be called an .. Corollary to Proposition 1.6 shows that the set of all algebraic numbers forms a ring, and the same holds for the set of all作者: 蠟燭 時(shí)間: 2025-3-22 20:42 作者: STELL 時(shí)間: 2025-3-22 22:59
Loa loa: Latest Advances in Loiasis Researchraditionally an . if . ?, and is called a . if . ≠ ?. The same applies to other notions which will arise in the sequel, and so we shall speak about, say, a . of an exten-sion, whereas by the . we shall mean the discriminant .(.), defined in Chap. 2.作者: 比目魚 時(shí)間: 2025-3-23 01:36
Michael K?hler,Sven Jenne,Harald Zennerluation gives rise to a complete field, uniquely determined up to a topological isomorphism. By Theorem 3.3 every discrete valuation . of an algebraic number field . is induced by a prime ideal T of its ring of integers. The completion of . under v will be denoted by K. or .. and called the p-.. In 作者: bisphosphonate 時(shí)間: 2025-3-23 07:49 作者: arrogant 時(shí)間: 2025-3-23 10:54
https://doi.org/10.1007/978-3-322-85872-6t’s .-functions, and derive the functional equations for them. Our arguments will be based on the results of Chap. 6. Subsequent sections are devoted to asymptotic distribution of ideals and prime ideals. We shall use the tauberian theorem of Delange, an account of which is given in Appendix II, as 作者: 武器 時(shí)間: 2025-3-23 14:26
https://doi.org/10.1007/978-3-658-19102-3 the Kronecker-Weber theorem (Theorem 6.18) every such extension is contained in a suitable cyclotomic field .. = ?(ζ.). The least integer . with the property .?.. is called the . of ., and is denoted by .(.).S The main properties of the conductor are listed in the following proposition:作者: 山崩 時(shí)間: 2025-3-23 21:58 作者: cunning 時(shí)間: 2025-3-23 23:48
W?adys?aw NarkiewiczBrings the main principal results in the classical algebraic number theory, with the exception of class-field theory.Up-to-date extensive bibliography containing 3400 items.Each chapter ends with a se作者: 容易懂得 時(shí)間: 2025-3-24 02:29 作者: 神化怪物 時(shí)間: 2025-3-24 07:23 作者: cardiopulmonary 時(shí)間: 2025-3-24 13:24
Introduction - Properties of Materials,cations, and in the second we introduce the ring of adeles and the group of ideles, study their principal proprieties and perform some harmonic analysis, including the deduction of the functional equation for suitably defined zeta-functions.作者: BIDE 時(shí)間: 2025-3-24 18:39 作者: 符合你規(guī)定 時(shí)間: 2025-3-24 21:42
Extensions,raditionally an . if . ?, and is called a . if . ≠ ?. The same applies to other notions which will arise in the sequel, and so we shall speak about, say, a . of an exten-sion, whereas by the . we shall mean the discriminant .(.), defined in Chap. 2.作者: overwrought 時(shí)間: 2025-3-25 02:13 作者: 傾聽 時(shí)間: 2025-3-25 05:52
Abelian Fields, the Kronecker-Weber theorem (Theorem 6.18) every such extension is contained in a suitable cyclotomic field .. = ?(ζ.). The least integer . with the property .?.. is called the . of ., and is denoted by .(.).S The main properties of the conductor are listed in the following proposition:作者: 救護(hù)車 時(shí)間: 2025-3-25 07:59
Book 2004Latest editionny ways to develop this subject; the latest trend is to neglect the classical Dedekind theory of ideals in favour of local methods. However, for numeri- cal computations, necessary for applications of algebraic numbers to other areas of number theory, the old approach seems more suitable, although i作者: Pcos971 時(shí)間: 2025-3-25 13:05
Units and Ideal Classes,ne all valuations of ., including the Archimedean, and we shall establish that every Archimedean valuation of . is generated by an embedding of . in ?, whereas every other non-trivial valuation is discrete and induced by a prime ideal of ...作者: Creatinine-Test 時(shí)間: 2025-3-25 17:54
Stefan Altenschmidt,Denise Helling algebraic integers. Actually the first of these rings is a field, since if . ≠ 0 is algebraic, then it is a root of .. + .... + ... + ... + .. with rational ..’s and non-zero .., hence .. is a root of the polynomial .. + ....... + ... + ....作者: 樣式 時(shí)間: 2025-3-25 22:40 作者: Harrowing 時(shí)間: 2025-3-26 01:45
https://doi.org/10.1007/978-3-322-85872-6well as complex integration in its simplest form. We adopt the convention that Σ.and Σ. denote summations over all non-zero ideals, respectively all non-zero prime ideals of the considered algebraic number field. We shall also denote. by . the real, respectively the imaginary part of the complex variable ..作者: 蚊帳 時(shí)間: 2025-3-26 06:47 作者: 難理解 時(shí)間: 2025-3-26 09:43
Algebraic Numbers and Integers, algebraic integers. Actually the first of these rings is a field, since if . ≠ 0 is algebraic, then it is a root of .. + .... + ... + ... + .. with rational ..’s and non-zero .., hence .. is a root of the polynomial .. + ....... + ... + ....作者: definition 時(shí)間: 2025-3-26 13:46
,-adic Fields,the case of . ? we shall not distinguish between the prime . and the prime ideal generated by it, and we shall write ?. for the field which is the completion of ? under the valuation induced by .?. The field ?. is called the ..作者: Crater 時(shí)間: 2025-3-26 17:40 作者: Medley 時(shí)間: 2025-3-26 22:43 作者: 提升 時(shí)間: 2025-3-27 02:26 作者: Cholagogue 時(shí)間: 2025-3-27 07:55
Lloyd George and the Lost Peacene all valuations of ., including the Archimedean, and we shall establish that every Archimedean valuation of . is generated by an embedding of . in ?, whereas every other non-trivial valuation is discrete and induced by a prime ideal of ...作者: 得罪 時(shí)間: 2025-3-27 12:23
Algebraic Numbers and Integers,umber which is integral over the field ? of rational numbers will be called an ., and if it is also integral over the ring ? of rational integers, then it will be called an .. Corollary to Proposition 1.6 shows that the set of all algebraic numbers forms a ring, and the same holds for the set of all作者: Apoptosis 時(shí)間: 2025-3-27 17:19
Units and Ideal Classes,rm property. This allows us to construct discrete valuations of . using the exponents associated to prime ideals of ... In this section we shall examine all valuations of ., including the Archimedean, and we shall establish that every Archimedean valuation of . is generated by an embedding of . in ?作者: Blatant 時(shí)間: 2025-3-27 21:30
Extensions,raditionally an . if . ?, and is called a . if . ≠ ?. The same applies to other notions which will arise in the sequel, and so we shall speak about, say, a . of an exten-sion, whereas by the . we shall mean the discriminant .(.), defined in Chap. 2.作者: chemoprevention 時(shí)間: 2025-3-27 22:02
,-adic Fields,luation gives rise to a complete field, uniquely determined up to a topological isomorphism. By Theorem 3.3 every discrete valuation . of an algebraic number field . is induced by a prime ideal T of its ring of integers. The completion of . under v will be denoted by K. or .. and called the p-.. In 作者: Texture 時(shí)間: 2025-3-28 04:52 作者: 仲裁者 時(shí)間: 2025-3-28 06:26 作者: 形狀 時(shí)間: 2025-3-28 13:21 作者: agenda 時(shí)間: 2025-3-28 18:25
Factorizations,ivial class-group can be characterized arithmetically in terms of factorization properties. The discovery made by Carlitz that one can similarly characterize in a simple way fields with class-number 2 gave rise to the thought that it might be possible to obtain a similar description of fields with a作者: 臆斷 時(shí)間: 2025-3-28 19:47
1439-7382 and 4 the clas- sical theory of algebraic numbers is developed. Chapter 5 contains the fun- damental notions of the theory of p-adic fields, and Chapter 6 brings their applications to the study of algebraic nu978-3-642-06010-6978-3-662-07001-7Series ISSN 1439-7382 Series E-ISSN 2196-9922 作者: Crohns-disease 時(shí)間: 2025-3-29 00:44
Book 2004Latest editionluding the structure of finitely generated modules over Dedekind domains. In Chapters 2, 3 and 4 the clas- sical theory of algebraic numbers is developed. Chapter 5 contains the fun- damental notions of the theory of p-adic fields, and Chapter 6 brings their applications to the study of algebraic nu作者: 痛得哭了 時(shí)間: 2025-3-29 06:05
