SpringerBriefs in Mathematics

Hecke’s L-functions

Spring, 1964

Authors: Iwasawa, Kenkichi

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  • Was typeset from lecture notes originally handwritten by Kenkichi Iwasawa for his course at Princeton University in 1964​Provides the details of Iwasawa's original method, unpublished until now, of the adelic approach to Hecke's L-functions Is an excellent textbook for studying to learn the analytic continuation and functional equation of Hecke's L-functions and the class number formula of Dedekind zeta functions

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eBook $44.99
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  • ISBN 978-981-13-9495-9
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Softcover $59.99
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  • ISBN 978-981-13-9494-2
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About this book

This volume contains the notes originally made by Kenkichi Iwasawa in his own handwriting for his lecture course at Princeton University in 1964.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.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-981-13-9495-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-981-13-9494-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Hecke’s L-functions
Book Subtitle
Spring, 1964
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2019
Publisher
Springer Singapore
Copyright Holder
The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-9495-9
DOI
10.1007/978-981-13-9495-9
Softcover ISBN
978-981-13-9494-2
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XI, 93
Number of Illustrations
17 b/w illustrations
Topics