Item description for Cyclotomic Fields and Zeta Values (Springer Monographs in Mathematics) by John Coates...
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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Est. Packaging Dimensions: Length: 9.37" Width: 6.14" Height: 0.47" Weight: 0.71 lbs.
Release Date Oct 5, 2006
ISBN 3540330682 ISBN13 9783540330684
Availability 137 units. Availability accurate as of Oct 25, 2016 03:29.
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More About John Coates
John Coates is a senior research fellow in neuroscience and finance at the University of Cambridge. He previously worked for Goldman Sachs and ran a trading desk for Deutsche Bank in New York City. He lives in Cambridge, England.
John Coates has an academic affiliation as follows - St Thomas University, Canada University of Cambridge.