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Hecke`s L-functions, Kenkichi Iwasawa


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Автор: Kenkichi Iwasawa
Название:  Hecke`s L-functions
ISBN: 9789811394942
Издательство: Springer
Классификация:




ISBN-10: 9811394946
Обложка/Формат: Soft cover
Страницы: 93
Вес: 0.18 кг.
Дата издания: 2019
Серия: SpringerBriefs in Mathematics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 17 illustrations, black and white; xi, 93 p. 17 illus.
Размер: 234 x 156 x 6
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: Spring, 1964
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This volume contains the notes originally made by Kenkichi Iwasawa in his own handwriting for his lecture course at Princeton University in 1964. These notes give a beautiful and completely detailed account of the adelic approach to Hecke’s L-functions attached to any number field, including the proof of analytic continuation, the functional equation of these L-functions, and the class number formula arising from the Dedekind zeta function for a general number field. This adelic approach was discovered independently by Iwasawa and Tate around 1950 and marked the beginning of the whole modern adelic approach to automorphic forms and L-series. While Tate’s thesis at Princeton in 1950 was finally published in 1967 in the volume Algebraic Number Theory, edited by Cassels and Frohlich, no detailed account of Iwasawa’s work has been published until now, and this volume is intended to fill the gap in the literature of one of the key areas of modern number theory. In the final chapter, Iwasawa elegantly explains some important classical results, such as the distribution of prime ideals and the class number formulae for cyclotomic fields.


Symmetric Functions and Hall Polynomials

Автор: Macdonald I. G.
Название: Symmetric Functions and Hall Polynomials
ISBN: 0198739125 ISBN-13(EAN): 9780198739128
Издательство: Oxford Academ
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Цена: 8554.00 р.
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Описание: Reissued in the Oxford Classical Texts, this acclaimed second edition is nowadays the key resource on Macdonald polynomials, important for many research mathematicians.

Functions of One Complex Variable I

Автор: Conway
Название: Functions of One Complex Variable I
ISBN: 0387903283 ISBN-13(EAN): 9780387903286
Издательство: Springer
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Цена: 6981.00 р.
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Описание: "This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year`s course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis.

Elliptic and Modular Functions from Gauss to Dedekind to Hecke

Автор: Roy
Название: Elliptic and Modular Functions from Gauss to Dedekind to Hecke
ISBN: 1107159385 ISBN-13(EAN): 9781107159389
Издательство: Cambridge Academ
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Цена: 12038.00 р.
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Описание: Many mathematicians today believe mathematical works from past centuries are inaccessible, not useful, or both. This book demonstrates that past works are not only readable, but brimming with ideas and insights. It is aimed at graduate students or researchers working in modular functions, number theory, complex analysis, or special functions.

Blocks and Families for Cyclotomic Hecke Algebras

Автор: Maria Chlouveraki
Название: Blocks and Families for Cyclotomic Hecke Algebras
ISBN: 3642030637 ISBN-13(EAN): 9783642030635
Издательство: Springer
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Цена: 4884.00 р.
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Описание: This book contains a thorough study of symmetric algebras, covering topics such as block theory, representation theory and Cli?ord theory. It can also serve as an introduction to the Hecke algebras of complex re?ection groups. Its aim is the study of the blocks and the determination of the families of characters of the cyclotomic Hecke algebras associated to complex re?ection groups. Iwouldliketothankmythesisadvisor, MichelBrou e, forhisadvice.These Springer Lecture Notes were, after all, his idea. I am grateful to Jean Michel for his help with the implementation and presentation of the programming part. I would like to thank Gunter Malle for his suggestion that I generalize my results on Hecke algebras, which led to the notion of "essential algebras". I also express my thanks to C edric Bonnaf e, Meinolf Geck, Nicolas Jacon, Rapha] el Rouquier and Jacques Th evenaz for their useful comments. Finally, I thank Thanos Tsouanas for copy-editing this manuscript. v Introduction The ?nite groups of matrices with coe?cients in Q generated by re?ections, known as Weyl groups, are a fundamental building block in the classi?cation of semisimple complex Lie algebras and Lie groups, as well as semisimple algebraic groups over arbitrary algebraically closed ?elds. They are also a foundation for many other signi?cant mathematical theories, including braid groups and Hecke algebras.

Linear Methods

Автор: Hecker
Название: Linear Methods
ISBN: 1138062928 ISBN-13(EAN): 9781138062924
Издательство: Taylor&Francis
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Цена: 28327.00 р.
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Описание: Linear Methods: A General Education Course is expressly written for non-mathematical students, particularly freshmen taking a required core mathematics course. This text encourages students to explore one particular branch of mathematics, elementary linear algebra, in some depth.

Representations of Affine Hecke Algebras

Автор: Nanhua Xi
Название: Representations of Affine Hecke Algebras
ISBN: 3540583890 ISBN-13(EAN): 9783540583899
Издательство: Springer
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Цена: 3487.00 р.
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Описание: These lecture notes show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. The based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras.

Quadratic Forms and Hecke Operators

Автор: Anatolij N. Andrianov
Название: Quadratic Forms and Hecke Operators
ISBN: 3642703437 ISBN-13(EAN): 9783642703430
Издательство: Springer
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Цена: 13275.00 р.
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Описание: The numerous explicit formulae of the classical theory of quadratic forms revealed remarkable multiplicative properties of the numbers of integral representations of integers by positive definite integral quadratic forms.

Iteration of Rational Functions

Автор: Beardon
Название: Iteration of Rational Functions
ISBN: 0387951512 ISBN-13(EAN): 9780387951515
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Focuses on complex analytic dynamics. This book provides a organized treatment of the foundations of the theory of iteration of rational functions of a complex variable.


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