標題: Titlebook: Catalan‘s Conjecture; René Schoof Textbook 2008 Springer-Verlag London 2008 Algebra.Arithmetic.Catalan‘s conjecture.algebraic number theor [打印本頁] 作者: 選民 時間: 2025-3-21 16:19
書目名稱Catalan‘s Conjecture影響因子(影響力)
書目名稱Catalan‘s Conjecture影響因子(影響力)學(xué)科排名
書目名稱Catalan‘s Conjecture網(wǎng)絡(luò)公開度
書目名稱Catalan‘s Conjecture網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Catalan‘s Conjecture被引頻次
書目名稱Catalan‘s Conjecture被引頻次學(xué)科排名
書目名稱Catalan‘s Conjecture年度引用
書目名稱Catalan‘s Conjecture年度引用學(xué)科排名
書目名稱Catalan‘s Conjecture讀者反饋
書目名稱Catalan‘s Conjecture讀者反饋學(xué)科排名
作者: Popcorn 時間: 2025-3-21 23:14 作者: mettlesome 時間: 2025-3-22 00:24 作者: Conflict 時間: 2025-3-22 07:53
Textbook 2008ther...Beautifully clear and concise, this book will appeal not only to specialists in number theory but to anyone interested in seeing the application of the ideas of algebraic number theory to a famous mathematical problem..作者: expunge 時間: 2025-3-22 09:25
,Runge’s Method,hod in a 1887 paper in Crelle’s journal [40]. In this section, we explain it along the lines of a short unpublished note by Yuri Bilu. This involves somewhat more mathematics than is required for the rest of the notes. The method is applied to prove theorems of Cassels and Mih?ilescu that regard Catalan’s equation.作者: 半球 時間: 2025-3-22 14:53 作者: 半球 時間: 2025-3-22 18:20
How Can Revived Originals Become Reality?hod in a 1887 paper in Crelle’s journal [40]. In this section, we explain it along the lines of a short unpublished note by Yuri Bilu. This involves somewhat more mathematics than is required for the rest of the notes. The method is applied to prove theorems of Cassels and Mih?ilescu that regard Catalan’s equation.作者: 刪減 時間: 2025-3-22 23:51 作者: 水土 時間: 2025-3-23 02:25 作者: 盟軍 時間: 2025-3-23 07:06 作者: GET 時間: 2025-3-23 13:37
René SchoofProvides complete proofs of a spectacular recent result in number theory.Accessible to the non-specialist: requires little more than a basic mathematical background and some knowledge of elementary nu作者: choleretic 時間: 2025-3-23 14:34 作者: 性冷淡 時間: 2025-3-23 21:51
Huazhu Fu,Mona K. Garvin,Yalin ZhengIn this book, we present Preda Mih?ilescu’s beautiful proof of the conjecture made by Eugène Charles Catalan in 1844 in a letter [11] to the editor of Crelle’s journal.作者: 量被毀壞 時間: 2025-3-23 23:52 作者: 步履蹣跚 時間: 2025-3-24 03:22 作者: Sciatica 時間: 2025-3-24 10:23 作者: thrombus 時間: 2025-3-24 10:57 作者: LOPE 時間: 2025-3-24 17:35
Reactions to Cultural OvertourismNonzero solutions to Catalan’s equation . naturally give rise to elements in certain obstruction groups. Mih?ilescu’s theorems can be viewed as results about the size of the submodules generated by these elements. In this section, we introduce the notions and notations that are used in the remaining sections.作者: MOCK 時間: 2025-3-24 19:24 作者: GEM 時間: 2025-3-25 02:48 作者: LUCY 時間: 2025-3-25 06:48 作者: 輪流 時間: 2025-3-25 11:04 作者: Comprise 時間: 2025-3-25 13:03
Elisabeth Wilson-Evered,John ZeleznikowIn this chapter and chapter 14, we prove Theorem II of chapter 1. There are two main ingredients: the Runge method, exploited here, and Thaine’s theorem, which is used in chapter 14.作者: construct 時間: 2025-3-25 17:16 作者: Crater 時間: 2025-3-25 21:02 作者: Hippocampus 時間: 2025-3-26 03:16 作者: 暫時中止 時間: 2025-3-26 04:29
https://doi.org/10.1007/978-3-030-64915-9In this chapter we prove an important special case of Thaine’s theorem [48].作者: Ornithologist 時間: 2025-3-26 09:57
Introduction,In this book, we present Preda Mih?ilescu’s beautiful proof of the conjecture made by Eugène Charles Catalan in 1844 in a letter [11] to the editor of Crelle’s journal.作者: 長處 時間: 2025-3-26 14:13
,The Case “, = 2”,The proof is by a 2-adic argument [27]. It exploits the arithmetic of the ring of Gaussian integers .. See Exercise 2.2.作者: 謙虛的人 時間: 2025-3-26 18:35 作者: 蝕刻術(shù) 時間: 2025-3-27 00:37
The Nontrivial Solution,In this chapter, we present a different solution. It is due to W. McCallum [31]. He reduces the problem to a Thue equation, which he solves by means of Skolem’s method. See [9, s. 10.10] for this method.作者: Corral 時間: 2025-3-27 03:41 作者: Cloudburst 時間: 2025-3-27 09:03
An Obstruction Group,Nonzero solutions to Catalan’s equation . naturally give rise to elements in certain obstruction groups. Mih?ilescu’s theorems can be viewed as results about the size of the submodules generated by these elements. In this section, we introduce the notions and notations that are used in the remaining sections.作者: 不幸的人 時間: 2025-3-27 12:00
Small , or ,,In this chapter, we present Mih?ilescu’s proof of Theorem IV mentioned in chapter 1. The proof is by a .-adic argument. Let . be distinct odd primes.作者: 輕推 時間: 2025-3-27 17:13
The Stickelberger Ideal,Let . be an odd prime and let .. denote a primitive .th root of unity.作者: 或者發(fā)神韻 時間: 2025-3-27 20:28 作者: Gossamer 時間: 2025-3-27 23:51
The Minus Argument,In this chapter, we prove Theorem III of chapter 1. The proof is “Archimedean” in the sense that it exploits the fact that for any nonzero solution .,. of Catalan’s equation ., the absolute values of . and . are necessarily very large. This follows from Corollary 6.5 (iii). We use the notation introduced in chapter 7.作者: 檢查 時間: 2025-3-28 04:16
The Plus Argument I,In this chapter and chapter 14, we prove Theorem II of chapter 1. There are two main ingredients: the Runge method, exploited here, and Thaine’s theorem, which is used in chapter 14.作者: 無關(guān)緊要 時間: 2025-3-28 09:23 作者: metropolitan 時間: 2025-3-28 14:24
The Plus Argument II,In this chapter, we prove Theorem II of chapter 1. The key ingredients are the results of chapter 12 and Francisco Thaine’s famous theorem [48], which is proved in chapter 16. Let . be odd primes and let . be a nonzero solution to Catalan’s equation ..作者: 最小 時間: 2025-3-28 15:58 作者: 柱廊 時間: 2025-3-28 20:22 作者: 落葉劑 時間: 2025-3-29 01:37 作者: 停止償付 時間: 2025-3-29 05:42
Andreas F. Kelletat the highest weight, those of a Lie group can be easily treated through those of the corresponding Lie algebra. Also, Lie algebras provide several concepts important for quantum theory. Hence, this chapter is organized so that it constructs a representation of a Lie group via that of the correspondi作者: 公共汽車 時間: 2025-3-29 10:01 作者: essential-fats 時間: 2025-3-29 13:59 作者: 金哥占卜者 時間: 2025-3-29 15:47 作者: 啞巴 時間: 2025-3-29 21:47
Ligation-Mediated PCR for Analysis of UV Damagets [(6?4) photoproducts]. Cyclobutane dimers are formed between the 5,6 bonds of two adjacent pyrimidines, 5′-TpT, 5′-TpC, 5′-CpT, or 5′-CpC. The (6?4) photoproducts have a covalent bond between positions 6 and 4 of two adjacent pyrimidines, and are detected most frequently at 5′-TpC and 5′-CpC sequ作者: CALL 時間: 2025-3-30 01:49
Conference proceedings 1990 the possibilities of cooperation on all economic and business levels as well as future perspectives on world information markets from the Japanese and European points of view form the priority areas of the book. Special attention is given to - the case study of a Swiss-Japanese business cooperation作者: foodstuff 時間: 2025-3-30 05:30 作者: 卜聞 時間: 2025-3-30 10:48
The Social Paradigm of Automationl-Neoangiogenese. Das prognostisch immer noch ungünstige Lymph?dem-assoziierte Angiosarkom (Stewart-Treves-Syndrom) ist dafür das klassische klinische Beispiel. Nicht schwindende h?matomartige Hautl?sionen sind alarmierende Zeichen und bedürfen der unverzüglichen histologischen Kl?rung.作者: 正常 時間: 2025-3-30 15:09
The Nationality Question the most influential bases of interests are likely to be precommunist identities relating nationality and ethnicity.’. The prognosis is erroneous insofar as the perspective exceeds the initial stage of democratization. Contrary to expectations, the significance of the nationality/citizenship cleavage is gradually diminishing.作者: 得罪人 時間: 2025-3-30 18:50
G?k?en ünverengilbe promising for use in developing embryo evaluation and sorting systems. Based on this idea, many applications of image analysis have been reported for the evaluation of somatic embryos. In this chapter, by introducing image analysis applications to somatic embyrogenesis and to embryo sorting syste作者: Terminal 時間: 2025-3-30 23:24 作者: 散步 時間: 2025-3-31 03:25
Book 2014ity. The breadth and variety of articles in this book report on nature inspired methods and applications such as Swarm Intelligence, Hyper-heuristics, Evolutionary Algorithms, Cellular Automata, Artificial Bee Colony, Dynamic Optimization, Support Vector Machines, Multi-Agent Systems, Ant Clustering作者: Throttle 時間: 2025-3-31 06:43 作者: 蹣跚 時間: 2025-3-31 13:03 作者: biopsy 時間: 2025-3-31 16:21
