Książka Cyclotomic Fields and Zeta Values John Coates

Cyclotomic Fields and Zeta Values

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
356.03
Cyclotomic fields have always occupied a central place in number theory, and the so called "main con...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2006
strony
116
EAN
9783540330684
ISBN
3540330682
Enbook ID
01680504
Waga
354
Wymiary
166 x 243 x 15

Pełny opis

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.

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