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Cyclotomic Fields and Zeta Values

  • Kartonierter Einband
  • 128 Seiten
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Cyclotomic fields have always occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields ... Weiterlesen
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Beschreibung

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 graduate students and non-experts in Iwasawa theory.



Presents in full detail the simplest proof of the "main conjecture" for cyclotomic fields

Written by two leading figures in the field

Accessible to both graduate students and non-experts in Iwasawa theory



Inhalt
Cyclotomic Fields.- Local Units.- Iwasawa Algebras and p-adic Measures.- Cyclotomic Units and Iwasawa's Theorem.- Euler Systems.- Main Conjecture.

Produktinformationen

Titel: Cyclotomic Fields and Zeta Values
Autor:
EAN: 9783642069598
ISBN: 3642069592
Format: Kartonierter Einband
Herausgeber: Springer Berlin Heidelberg
Genre: Mathematik
Anzahl Seiten: 128
Gewicht: 207g
Größe: H235mm x B155mm x T7mm
Jahr: 2010
Auflage: Softcover reprint of hardcover 1st ed. 2006

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