Heckes L-functions (häftad)
Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
93
Utgivningsdatum
2019-09-18
Upplaga
1st ed. 2019
Förlag
Springer Verlag, Singapore
Medarbetare
Coates, John (foreword)/Kurihara, Masato (foreword)/Coates, John (foreword)/Kurihara, Masato (foreword)
Illustrationer
17 Illustrations, black and white; XI, 93 p. 17 illus.
Dimensioner
234 x 156 x 6 mm
Vikt
163 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9789811394942

Heckes L-functions

Spring, 1964

Häftad,  Engelska, 2019-09-18
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This volume contains the notes originally made by Kenkichi Iwasawa in his own handwriting for his lecture course at Princeton University in 1964.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 Heckes 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 Tates 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 Iwasawas 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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