
BOOKS - Lectures on P-Adic L-Functions. (AM-74), Volume 74 (Annals of Mathematics Stu...

Lectures on P-Adic L-Functions. (AM-74), Volume 74 (Annals of Mathematics Studies, 74)
Author: Kinkichi Iwasawa
Year: July 1, 1972
Format: PDF
File size: PDF 4.5 MB
Language: English

Year: July 1, 1972
Format: PDF
File size: PDF 4.5 MB
Language: English

The Plot of the Book 'Lectures on PAdic LFunctions AM74 Volume 74 Annals of Mathematics Studies 74' Introduction: In this book, Professor Iwasawa presents a comprehensive introduction to the theory of p-adic L-functions, which have gained significant attention in recent years due to their potential applications in number theory and algebraic geometry. The author begins by reviewing the classical results on Dirichlet's L-functions and providing a detailed explanation of the origins of p-adic L-functions, as introduced by Kubota and Leopoldt in 1964. Chapter 1: Classical Results and Origins of p-adic L-functions In this chapter, the author provides an overview of the classical results on Dirichlet's L-functions, including their definition, properties, and applications. The author then delves into the origins of p-adic L-functions, explaining how they were developed as a generalization of Dirichlet's L-functions.
The Plot of the Book 'ctures on PAdic LFunctions AM74 Volume 74 Annals of Mathematics Studies 74'Introduction: In this book, Professor Iwasawa presents a comprehensive introduction to the theory of p-adic L-functions, which has potententibility applications in number theory and algebraic geometry. Автор начинает с обзора классических результатов по L-функциям Дирихле и предоставления подробного объяснения происхождения p-адических L-функций, введённых Куботой и Леопольдтом в 1964 году. Глава 1: Классические результаты и происхождение p-адических L-функций В этой главе автор представляет обзор классических результатов по L-функциям Дирихле, включая их определение, свойства и приложения. Затем автор углубляется в происхождение p-адических L-функций, объясняя, как они были разработаны как обобщение L-функций Дирихле.
The Plot of the Book 'ctures on PAdic LFunctions AM74 Volume 74 Annals of Mathematics Studies 74'Introduction: In this book, Professor Iwasawa presents a comprehensive introduction to the theory of p-adic L-functions, which has potententibility applications in number theory and algebraic geometry. L'auteur commence par un aperçu des résultats classiques sur les fonctions L de Dirichlet et une explication détaillée de l'origine des fonctions p-adiques de Kubota et opoldt en 1964. Chapitre 1 : Résultats classiques et origine des fonctions L p-adiques Dans ce chapitre, l'auteur présente un aperçu des résultats classiques sur les fonctions L de Dirichlet, y compris leur définition, leurs propriétés et leurs applications. L'auteur explore ensuite l'origine des fonctions L p-adiques, expliquant comment elles ont été développées comme une généralisation des fonctions L de Dirichlet.
The Plot of the Book 'ctures on PAdic LFunctions AM74 Volume 74 Annals of Mathematics Studies 74'Introduction: In this book, Professor Iwasawa presents a comprehensive introduction to the theory of p-adic L-functions, which has potententibility applications in number theory and algebraic geometry. autor comienza revisando los resultados clásicos sobre las funciones L de Dirichlet y proporcionando una explicación detallada del origen de las funciones L p-ádicas introducidas por Cubota y opoldt en 1964. Capítulo 1: Resultados clásicos y origen de las funciones L p-ádicas En este capítulo, el autor presenta una visión general de los resultados clásicos de las funciones L de Dirichlet, incluyendo su definición, propiedades y aplicaciones. autor profundiza entonces en el origen de las funciones L p-ádicas, explicando cómo se desarrollaron como una generalización de las funciones L de Dirichlet.
The Plot of the Book 'ctures on PAdic LFunctions AM74 Volume 74 Annals of Mathematics Studies 74'Introduction: In this book, Professor Iwasawa presents a comprehensive introduction to the theory of p-adic L-functions, which has potententibility applications in number theory and algebraic geometry. O autor começa por analisar os resultados clássicos das funções L de Dirichle e fornecer uma explicação detalhada da origem das funções P-adas introduzidas por Cubota e opoldt em 1964. Capítulo 1: Os resultados clássicos e a origem das funções P-had L Neste capítulo, o autor apresenta uma visão geral dos resultados clássicos das funções L de Dirichle, incluindo sua definição, propriedades e aplicativos. Em seguida, o autor se aprofundou na origem das funções P-adic L, explicando como elas foram desenvolvidas como uma síntese das funções L de Dirichle.
The Plot of the Book 'ctures on PAdic LFunctions AM74 Volume 74 Annals of Mathematics Studies 74'Introduction: In this book, Professor Iwasawa presents a comprehensive introduction to the theory of p-adic L-functions, which has potententibility applications in number theory and algebraic geometry. Der Autor beginnt mit einem Überblick über die klassischen Ergebnisse der Dirichlet L-Funktionen und bietet eine detaillierte Erklärung der Herkunft der p-adischen L-Funktionen eingeführt von Kubota und opoldt im Jahr 1964. Kapitel 1: Die klassischen Ergebnisse und der Ursprung der p-adischen L-Funktionen In diesem Kapitel gibt der Autor einen Überblick über die klassischen Ergebnisse der Dirichlet-L-Funktionen, einschließlich ihrer Definition, Eigenschaften und Anwendungen. Der Autor geht dann auf die Ursprünge der p-adischen L-Funktionen ein und erklärt, wie sie als Verallgemeinerung der Dirichlet-L-Funktionen entwickelt wurden.
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The Plot of the Book 'ctures on PAdic LFunctions AM74 Volume 74 Annals of Mathematics Studies 74'Giriş: Bu kitapta Profesör Iwasawa, sayı teorisi ve cebirsel geometride potansiyallik uygulamaları olan p-adik L-fonksiyonları teorisine kapsamlı bir giriş sunmaktadır. Yazar, Dirichlet L-fonksiyonları hakkındaki klasik sonuçları gözden geçirerek ve 1964'te Kubota ve opoldt tarafından tanıtılan p-adik L-fonksiyonlarının kökeninin ayrıntılı bir açıklamasını sunarak başlar. Bölüm 1: Klasik sonuçlar ve p-adik L-fonksiyonlarının kökeni Bu bölümde yazar, Dirichlet L-fonksiyonlarının tanımı, özellikleri ve uygulamaları da dahil olmak üzere klasik sonuçlarına genel bir bakış sunmaktadır. Yazar daha sonra p-adik L-fonksiyonlarının kökenini araştırır ve Dirichlet L-fonksiyonlarının bir genellemesi olarak nasıl geliştirildiklerini açıklar.
The Plot of the Book 'ctures on PAdic LFunctions AM74 المجلد 74 Annals of Mathematics Studies 74'Introduction: في هذا الكتاب، يقدم البروفيسور إيواساوا مقدمة شاملة لنظرية وظائف p-adic L، التي لها تطبيقات القدرة في نظرية الأعداد والهندسة الجبرية. يبدأ المؤلف بمراجعة النتائج الكلاسيكية على وظائف Dirichlet L وتقديم شرح مفصل لأصل وظائف p-adic L التي قدمها Kubota و opoldt في عام 1964. الفصل 1: النتائج الكلاسيكية وأصل وظائف p-adic L في هذا الفصل، يقدم المؤلف لمحة عامة عن النتائج الكلاسيكية لوظائف Dirichlet L، بما في ذلك تعريفها وخصائصها وتطبيقاتها. ثم يتعمق المؤلف في أصل وظائف p-adic L، موضحًا كيف تم تطويرها كتعميم لوظائف Dirichlet L.
