標(biāo)題: Titlebook: Introduction to Cyclotomic Fields; Lawrence C. Washington Textbook 1997Latest edition Springer Science+Business Media New York 1997 Calc.C [打印本頁] 作者: 叛亂分子 時(shí)間: 2025-3-21 19:41
書目名稱Introduction to Cyclotomic Fields影響因子(影響力)
書目名稱Introduction to Cyclotomic Fields影響因子(影響力)學(xué)科排名
書目名稱Introduction to Cyclotomic Fields網(wǎng)絡(luò)公開度
書目名稱Introduction to Cyclotomic Fields網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Introduction to Cyclotomic Fields被引頻次
書目名稱Introduction to Cyclotomic Fields被引頻次學(xué)科排名
書目名稱Introduction to Cyclotomic Fields年度引用
書目名稱Introduction to Cyclotomic Fields年度引用學(xué)科排名
書目名稱Introduction to Cyclotomic Fields讀者反饋
書目名稱Introduction to Cyclotomic Fields讀者反饋學(xué)科排名
作者: 小鹿 時(shí)間: 2025-3-21 21:40 作者: Intercept 時(shí)間: 2025-3-22 01:41
Galois Groups Acting on Ideal Class Groups,h underlies the rest of the chapter. As applications, Kummer’s result “ . ” is made more precise and a classical result of Scholz on class groups of quadratic fields is proved. Finally, we show that Vandiver’s conjecture implies that the ideal class group of .is isomorphic to the minus part of the group ring modulo the Stickelberger ideal.作者: 構(gòu)想 時(shí)間: 2025-3-22 04:51
Cyclotomic Fields of Class Number One,presumably too large to make computations feasible. In 1971, Montgomery and Uchida independently obtained much better values of ., from which it followed that.Masley was then able to use this information, plus a table of . for ?. ≤ 256, to explicitly determine all . with .=1.作者: 揮舞 時(shí)間: 2025-3-22 09:49 作者: 移動(dòng) 時(shí)間: 2025-3-22 15:33
Textbook 1997Latest editionaic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat‘s Last Theorem, and Iwasawa‘s theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included. .The second edi作者: 開始沒有 時(shí)間: 2025-3-22 21:07
0072-5285 in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat‘s Last Theorem, and Iwasawa‘s theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included. .The 作者: SNEER 時(shí)間: 2025-3-23 00:01
0072-5285 iving other recent developments, including primality testing via Jacobi sums and Sinnott‘s proof of the vanishing of Iwasawa‘s f-invariant.978-1-4612-7346-2978-1-4612-1934-7Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 圓錐體 時(shí)間: 2025-3-23 03:21 作者: 返老還童 時(shí)間: 2025-3-23 06:50 作者: 釋放 時(shí)間: 2025-3-23 10:07
,The Kronecker—Weber Theorem,em is usually given as an easy consequence of class field theory. We do this in the Appendix. The main point is that in an abelian extension the splitting of primes is determined by congruence conditions, and we already know that . splits in . if . and only if mod ..作者: 錢財(cái) 時(shí)間: 2025-3-23 14:42 作者: 懶鬼才會(huì)衰弱 時(shí)間: 2025-3-23 19:22 作者: nonradioactive 時(shí)間: 2025-3-23 23:20
Basic Results,In this chapter we prove some basic results on cyclotomic fields which will lay the groundwork for later chapters. We let ζ . denote a primitive .th root of unity. First we determine the riqng of integers and discriminant of. (ζ .). We start with the prime power case.作者: Intervention 時(shí)間: 2025-3-24 04:44 作者: 擔(dān)心 時(shí)間: 2025-3-24 09:55
Dirichlet ,-series and Class Number Formulas,In this chapter we review some of the basic facts about .-series. Then their values at negative integers are given in terms of generalized Bernoulli numbers. Finally, we discuss the values at 1 and relations with class numbers.作者: Biguanides 時(shí)間: 2025-3-24 12:08
,The Second Case of Fermat’s Last Theorem,In Chapters 1 and 6 we treated the first case of Fermat’s Last Theorem, showing that there are no solutions provided certain conditions are satisfied by the class number.作者: 窒息 時(shí)間: 2025-3-24 18:20 作者: 全等 時(shí)間: 2025-3-24 20:05 作者: sparse 時(shí)間: 2025-3-25 02:44
Introduction to Cyclotomic Fields978-1-4612-1934-7Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 支架 時(shí)間: 2025-3-25 04:17
https://doi.org/10.1007/978-1-4612-1934-7Calc; Calculation; Fields; Galois theory; Kreisk?rper; Maxima; algebra; algebraic number theory; class; congr作者: grieve 時(shí)間: 2025-3-25 10:43
-adic ,-functions and Bernoulli Numbers,e must resort to another procedure. The values of . at negative integers are algebraic, hence may be regarded as lying in an extension of.. We therefore look for a .-adic function which agrees with . at the negative integers. With a few minor modifications, this is possible.作者: 不可侵犯 時(shí)間: 2025-3-25 15:09 作者: 改正 時(shí)間: 2025-3-25 18:33
The Main Conjecture and Annihilation of Class Groups,quences. Not only is it now possible to give a fairly elementary proof of the Main Conjecture, but these ideas also allowed Rubin to give the first examples of finite Tate-Shafarevich groups for elliptic curves.作者: concise 時(shí)間: 2025-3-25 22:02
y the indoor localization are growing. The Access Point (AP) Filtering work is a very critical part in the indoor localization technology. Aiming at the problems which exist in the present AP filtering algorithms which include the low positioning accuracy, the long computation time and the high comp作者: 不適 時(shí)間: 2025-3-26 01:29 作者: bonnet 時(shí)間: 2025-3-26 06:55
Lawrence C. Washingtontform does not match the memory bandwidth very well. The existing scheme doesn’t take full advantage of logical resources, and also doesn’t make full use of memory bandwidth. Neither of them can get the best performance. In this paper, we use the commonly used im2col method in the software implement作者: Decline 時(shí)間: 2025-3-26 09:03
Lawrence C. Washingtonime, but usually it has high complexity and large data. So the real-time, which improved by hardware acceleration, is the key of image recognition system. Traditional processors have the disadvantages of low flexibility and configurability for prototype of embedded system. The family of Xilinx Zynq7作者: BIDE 時(shí)間: 2025-3-26 15:33 作者: 放大 時(shí)間: 2025-3-26 18:45 作者: Fluctuate 時(shí)間: 2025-3-27 00:43
Lawrence C. Washingtonrable to be able to perform some image filtering techniques frequently used to reduce or eliminate noise on an image or signal. The two-dimensional spatial median filter is the most commonly used filter for image denoising. The median of a given sequence can be determined by sorting all values in th作者: 半導(dǎo)體 時(shí)間: 2025-3-27 03:24 作者: perpetual 時(shí)間: 2025-3-27 06:26
Lawrence C. Washingtonssentially rooted in political decisions to counter the worldwide climate change. The increase of production based on renewable energy implies drastically higher volatility in available electric power. The problem has two challenging facets, namely grid stability, and economy of energy production an作者: 違反 時(shí)間: 2025-3-27 11:50 作者: 最有利 時(shí)間: 2025-3-27 16:10 作者: 過渡時(shí)期 時(shí)間: 2025-3-27 20:40 作者: 小鹿 時(shí)間: 2025-3-27 23:39
Lawrence C. Washingtondents in computer science, computer engineering, and electrical engineering programs. It contains a balanced discussion on both hardware and software related to embedded systems, with a focus on co-design aspects. Embedded systems have applications in Internet-of-Things (IoT), wearables, self-drivin作者: 輕快來事 時(shí)間: 2025-3-28 05:25
Lawrence C. Washington established by Shanghai Jiao Tong University and Technische Universit?t Berlin. The goal of those workshops is to bring together - searchers from both universities in order to present research results to an international community. The series of workshops started in 1990 with the International Work作者: 評(píng)論性 時(shí)間: 2025-3-28 09:23 作者: 考博 時(shí)間: 2025-3-28 12:33
Lawrence C. Washingtonal-time systems.Applications in airborne and medical systemsThe International Workshop on “Embedded Systems - Modeling, Techn- ogy, and Applications” is the seventh in a successful series of workshops that were established by Shanghai Jiao Tong University and Technische Universit?t Berlin. The goal 作者: STERN 時(shí)間: 2025-3-28 18:01
Lawrence C. Washingtonal-time systems.Applications in airborne and medical systemsThe International Workshop on “Embedded Systems - Modeling, Techn- ogy, and Applications” is the seventh in a successful series of workshops that were established by Shanghai Jiao Tong University and Technische Universit?t Berlin. The goal 作者: MOTTO 時(shí)間: 2025-3-28 21:57
al-time systems.Applications in airborne and medical systemsThe International Workshop on “Embedded Systems - Modeling, Techn- ogy, and Applications” is the seventh in a successful series of workshops that were established by Shanghai Jiao Tong University and Technische Universit?t Berlin. The goal 作者: overshadow 時(shí)間: 2025-3-29 00:09 作者: sparse 時(shí)間: 2025-3-29 05:18
,Stickelberger’s Theorem,p.hey will form the Stickelberger ideal. The proof involves factoring Gauss sums as products of prime ideals, and since Gauss sums generate principal ideals, we obtain relations in the ideal class group. As an application, we prove Herbrand’s theorem which relates the nontriviality of certain parts 作者: Paradox 時(shí)間: 2025-3-29 08:01 作者: 樂意 時(shí)間: 2025-3-29 15:00 作者: 白楊魚 時(shí)間: 2025-3-29 16:19
Galois Groups Acting on Ideal Class Groups,o great advantage to reinterpret old results and to obtain new information on the structure of class groups. In this chapter we first give some results which are useful when working with class groups and class numbers. We then present the basic machinery, essentially Leopoldt’s Spiegelungssatz, whic作者: 物質(zhì) 時(shí)間: 2025-3-29 22:41 作者: CHASE 時(shí)間: 2025-3-30 02:15
Measures and Distributions,As we shall see, many ideas from Chapters 4, 5, 7, and 8 fit into this general framework. The related concept of a measure yields a .-adic integration theory which allows us to interpret the .-adic .-function as a Mellin transform, as in the classical case.作者: 男生如果明白 時(shí)間: 2025-3-30 04:02
,Iwasawa’s Theory of ?-extensions,motivation from the theory of curves over finite fields, which is known to have a strong analogy with the theory of number fields. In the case of curves, it is convenient to extend the field of constants to its algebraic closure, which amounts to adding on roots of unity. There is a natural generato作者: 郊外 時(shí)間: 2025-3-30 09:23
,The Kronecker—Weber Theorem, in 1853, but his proof was incomplete. In particular, there were difficulties with extensions of degree a power of 2. Even in the proof we give below this case requires special consideration. The first proof was given by Weber in 1886 (there was still a gap; see Neumann [1]). Both Kronecker and Web作者: fatuity 時(shí)間: 2025-3-30 14:07 作者: Aggressive 時(shí)間: 2025-3-30 17:40 作者: 階層 時(shí)間: 2025-3-30 23:35 作者: CAB 時(shí)間: 2025-3-31 03:54
Lawrence C. Washingtonroved remarkably. Secondly, the input data and the convolution kernel are multi-level partitioning optimization. The multi-layer input data is grouped by 2k, and the data of each layer is optimized by L group. At the same time, the convolution kernel is also grouped by 2k and the convolution kernel 作者: obscurity 時(shí)間: 2025-3-31 08:02
Lawrence C. Washingtond on module designed at system-level and modeled at algorithm-level. After determining the algorithm option, we partite the ARM and FPGA of modules depending on algorithm simulation, and then implement them separately. Finally, ARM and FPGA modules are interconnected by interface or driver. When the作者: 摻和 時(shí)間: 2025-3-31 10:23
Lawrence C. Washingtond on module designed at system-level and modeled at algorithm-level. After determining the algorithm option, we partite the ARM and FPGA of modules depending on algorithm simulation, and then implement them separately. Finally, ARM and FPGA modules are interconnected by interface or driver. When the作者: 放牧 時(shí)間: 2025-3-31 16:15
Lawrence C. Washingtond on module designed at system-level and modeled at algorithm-level. After determining the algorithm option, we partite the ARM and FPGA of modules depending on algorithm simulation, and then implement them separately. Finally, ARM and FPGA modules are interconnected by interface or driver. When the作者: mettlesome 時(shí)間: 2025-3-31 20:41
