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Synopsis
This volume contains the notes originally made by Kenkichi Iwasawa in his own handwriting for his lecture course at Princeton University in 1964.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.
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- PublisherSpringer
- Publication date2019
- ISBN 10 9811394946
- ISBN 13 9789811394942
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages104
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Hecke's L-functions
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Springer Nature Singapore, Springer Nature Singapore Sep 2019, 2019
ISBN 10: 9811394946
ISBN 13: 9789811394942
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume contains the notes originally made by Kenkichi Iwasawa in his own handwriting for his lecture course at Princeton University in 1964.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. 108 pp. Englisch. Seller Inventory # 9789811394942
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Hecke's L-functions : Spring, 1964
Published by
Springer Nature Singapore, Springer Nature Singapore, 2019
ISBN 10: 9811394946
ISBN 13: 9789811394942
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9789811394942
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Hecke\ s L-functions
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Was typeset from lecture notes originally handwritten by Kenkichi Iwasawa for his course at Princeton University in 1964Provides the details of Iwasawa s original method, unpublished until now, of the adelic approach to Hecke s . Seller Inventory # 297504108
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Hecke's L-functions: Spring, 1964
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Paperback. Condition: Brand New. 108 pages. 9.25x6.10x0.32 inches. In Stock. Seller Inventory # zk9811394946
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Hecke's L-functions: Spring, 1964 (SpringerBriefs in Mathematics)
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