Articles liés à Cyclotomic Fields and Zeta Values

Cyclotomic Fields and Zeta Values - Couverture souple

Coates, John; Sujatha, R.

 
9783642069598: Cyclotomic Fields and Zeta Values
Couverture souple
ISBN 10 : 3642069592 ISBN 13 : 9783642069598
Editeur : Springer, 2010

Synopsis

Cyclotomic fields have always occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the deepest and most beautiful theorem known about them. It is also the simplest example of a vast array of subsequent, unproven "main conjectures'' in modern arithmetic geometry involving the arithmetic behaviour of motives over p-adic Lie extensions of number fields. These main conjectures are concerned with what one might loosely call the exact formulae of number theory which conjecturally link the special values of zeta and L-functions to purely arithmetic expressions.

Written by two leading workers in the field, this short and elegant book presents in full detail the simplest proof of the "main conjecture'' for cyclotomic fields. Its motivation stems not only from the inherent beauty of the subject, but also from the wider arithmetic interest of these questions. The masterly exposition is intended to be accessible to both graduatestudents and non-experts in Iwasawa theory.

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Présentation de l'éditeur

Written by two leading workers in the field, this brief but elegant book presents in full detail the simplest proof of the "main conjecture" for cyclotomic fields. Its motivation stems not only from the inherent beauty of the subject, but also from the wider arithmetic interest of these questions. From the reviews: "The text is written in a clear and attractive style, with enough explanation helping the reader orientate in the midst of technical details" -ZENTRALBLATT MATH

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
3642069592
ISBN 13 
9783642069598
Reliure
Broché
Numéro d'édition
1
Nombre de pages
128
Coordonnées du fabricant
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Autres éditions populaires du même titre

9783540330684: Cyclotomic Fields And Zeta Values

Edition présentée

ISBN 10 :  3540330682 ISBN 13 :  9783540330684
Editeur : Springer-Verlag Berlin and Heide..., 2006
Couverture rigide