| 000 | 02593nam a22004215i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-33069-1 | ||
| 003 | DE-He213 | ||
| 005 | 20160302162313.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 gw | s |||| 0|eng d | ||
| 020 |
_a9783540330691 _9978-3-540-33069-1 |
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| 024 | 7 |
_a10.1007/978-3-540-33069-1 _2doi |
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| 050 | 4 | _aQA241-247.5 | |
| 072 | 7 |
_aPBH _2bicssc |
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| 072 | 7 |
_aMAT022000 _2bisacsh |
|
| 082 | 0 | 4 |
_a512.7 _223 |
| 100 | 1 |
_aCoates, J. _eauthor. |
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| 245 | 1 | 0 |
_aCyclotomic Fields and Zeta Values _h[electronic resource] / _cby J. Coates, R. Sujatha. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
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| 300 |
_aX, 116 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _aCyclotomic Fields -- Local Units -- Iwasawa Algebras and p-adic Measures -- Cyclotomic Units and Iwasawa's Theorem -- Euler Systems -- Main Conjecture. | |
| 520 | _aCyclotomic 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 (the most celebrated example being the conjecture of Birch and Swinnerton-Dyer for elliptic curves). 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. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aNumber theory. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aNumber Theory. |
| 700 | 1 |
_aSujatha, R. _eauthor. |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540330684 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-540-33069-1 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c176592 _d176592 |
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