Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to $p$-adic $L$-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation of this book is an update of the classical theory for class groups taking into account the changed point of view on Iwasawa theory. The goal of this first part of the two-part publication is to explain the theory of ideal class groups, including its algebraic aspect (the Iwasawa class number formula), its analytic aspect (Leopoldt–Kubota $L$-functions), and the Iwasawa main conjecture, which is a bridge between the algebraic and the analytic aspects. The second part of the book will be published as a separate volume in the same series, Mathematical Surveys and Monographs of the American Mathematical Society.
Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to $p$-adic $L$-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation is to update the classical theory for class groups, taking into account the changed point of view on Iwasawa theory. The goal of this second part of the three-part publication is to explain various aspects of the cyclotomic Iwasawa theory of $p$-adic Galois representations.
Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to $p$-adic $L$-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation of this book is an update of the classical theory for class groups taking into account the changed point of view on Iwasawa theory. The goal of this first part of the two-part publication is to explain the theory of ideal class groups, including its algebraic aspect (the Iwasawa class number formula), its analytic aspect (Leopoldt–Kubota $L$-functions), and the Iwasawa main conjecture, which is a bridge between the algebraic and the analytic aspects. The second part of the book will be published as a separate volume in the same series, Mathematical Surveys and Monographs of the American Mathematical Society.
Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to $p$-adic $L$-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation is to update the classical theory for class groups, taking into account the changed point of view on Iwasawa theory. The goal of this second part of the three-part publication is to explain various aspects of the cyclotomic Iwasawa theory of $p$-adic Galois representations.
Words of wisdom from great samurai leaders: A collection of inspiring essays and aphorisms from Japan's leading warriors Samurai warrior leaders had to deal with grim conditions of life, death and survival. But such men were not simply rough uneducated fighters: they often personified the Far Eastern ideal of balancing cultural awareness and artistic expertise with high martial abilities. Their sayings, precepts and the anecdotes about them are informed by a broad spectrum of interests, many of which are still relevant today. Advice in this book includes: You should not envy the swords and clothing of others. It goes without saying that you should arrange your hair early in the morning if you are going out to your work, but this should be done even if you are thinking of staying at home. When you think too much, it is difficult to achieve your objectives. If you are too clever and look too far ahead, you will accomplish nothing. If you have some pressing or urgent affair, write it down with a calm state of mind. Your regular meals should be light, and you should not take a trivial liking for elegant cuisine. If someone promotes only those things the lord finds acceptable, and never remonstrates with him at all, you should watch that man carefully. No matter how wise a person may be, you should never depend fully on him but rather, understand that you are always on your own. Covering universal themes ranging from the courage and ambition to face daily affairs, the insights and strategies necessary to deal with allies and opponents, the value of art and literature, and even why and how to save money-- this is a book whose ancient wisdom is still highly relevant and of great value to readers today.
Le coeur d'Acro continue sa traversée de l'océan encadré par l'armée américaine. Mais Hang, une porteuse de pouvoir, alliée de Katsuma, s'est infiltrée à bord du porte-avions qui le transporte afin de s'en emparer. Elle provoque le réveil du coeur d'Acro qui finit par sombrer dans la mer. Au même moment, maman Yukie sonne le rassemblement de ses troupes, tandis que du côté de Katsuma, le terrible et maléfique Mitama continue sa croissance... Étrange et fascinant, doté d'une narration hors du commun et d'un superbe graphisme, Alive est un titre à part qui vous tiendra en haleine jusqu'à la dernière page !
Researchers, students and engineers working with biofuels and biomass are increasingly expected to comprehend a new holistic systems perspective that begins with wise crop breeding and cultivation techniques and informs the entire conversion to energy process. This volume provides diverse examples of successfully implemented sustainable biomass research in Asia, highlighting the challenges faced by designers of new biomass production facilities and tips on how to develop approaches to overcome them. In addition to providing an authoritative guide on the utilization of the authors’ sample feedstocks, rice straw and sunflower, the authors provide lessons relevant to stakeholders involved with all manner of biomass production projects by drawing out important comparisons and contrasts that must be taken into account when deciding how to utilize biomass as an energy resource in a way that is economically feasible and environmentally sustainable. Provides diverse examples of successfully implemented biomass research, highlighting insights on common bottlenecks and approaches developed to overcome them Features coverage of the full feedstock life cycle, from crop breeding to commercialapplication, focusing on 3 key areas: biomass production, biofuel conversion technologies, and sustainable practices Examines two regionally compatible feedstock, rice-straw and sunflower, performing a compare and contrast analysis of agricultural production methods, economics, conversion systems, and environmental impacts
A group of Tokyo teens is left to wonder why it was spared from a devastating pandemic thats taken the lives of millions of young men and women worldwide. Older teens.
Bioceramics, Volume 9 contains a compilation of the papers presented at the Ninth International Symposium in Ceramics in Medicine which was held in Otsu, Japan in November 1996. Over 150 papers were submitted to this symposium from 19 countries and 120 contributed papers and 8 invited papers for panel discussion were accepted. The readers will get a good overview of the recent progress in this discipline. The variety of ceramics and fields of their clincal applications are steadily growing and this book will undoubtedly contribute to the progression of this research area. In this symposium, a panel discussion on current status and future trend of ceramics in medicine was held by invited speakers doing research on the next generation of ceramics. General sessions consisting of the contributed papers were classified according to the kind of materials so that active discussion could arise concerning the respective material between ceramic scientists and medical scientists.
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