| 000 | 02642nam a22004458i 4500 | ||
|---|---|---|---|
| 001 | CR9781316163757 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160216.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 140819s2015||||enk o ||1 0|eng|d | ||
| 020 | _a9781316163757 (ebook) | ||
| 020 | _z9781107492967 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 4 |
_aQA353.Z4 _bB56 2015 |
|
| 082 | 0 | 4 |
_a512.73 _223 |
| 245 | 0 | 4 |
_aThe Bloch-Kato conjecture for the Riemann zeta function / _cedited by John Coates, A. Raghuram, Anupan Saikia, R. Sujatha. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2015. |
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| 300 |
_a1 online resource (ix, 305 pages) : _bdigital, PDF file(s). |
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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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| 490 | 1 |
_aLondon Mathematical Society lecture note series ; _v418 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aThere are still many arithmetic mysteries surrounding the values of the Riemann zeta function at the odd positive integers greater than one. For example, the matter of their irrationality, let alone transcendence, remains largely unknown. However, by extending ideas of Garland, Borel proved that these values are related to the higher K-theory of the ring of integers. Shortly afterwards, Bloch and Kato proposed a Tamagawa number-type conjecture for these values, and showed that it would follow from a result in motivic cohomology which was unknown at the time. This vital result from motivic cohomology was subsequently proven by Huber, Kings, and Wildeshaus. Bringing together key results from K-theory, motivic cohomology, and Iwasawa theory, this book is the first to give a complete proof, accessible to graduate students, of the Bloch-Kato conjecture for odd positive integers. It includes a new account of the results from motivic cohomology by Huber and Kings. | ||
| 650 | 0 |
_aFunctions, Zeta _vCongresses. |
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| 650 | 0 |
_aRiemann hypothesis _vCongresses. |
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| 650 | 0 |
_aL-functions _vCongresses. |
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| 650 | 0 |
_aMotives (Mathematics) _vCongresses. |
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| 650 | 0 |
_aIwasawa theory _vCongresses. |
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| 650 | 0 |
_aK-theory _vCongresses. |
|
| 650 | 0 |
_aGalois cohomology _vCongresses. |
|
| 700 | 1 |
_aCoates, J. _q(John), _eeditor. |
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| 700 | 1 |
_aRaghuram, A., _eeditor. |
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| 700 | 1 |
_aSaikia, Anupam _c(Mathematician), _eeditor. |
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| 700 | 1 |
_aSujatha, R., _eeditor. |
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| 776 | 0 | 8 |
_iPrint version: _z9781107492967 |
| 830 | 0 |
_aLondon Mathematical Society lecture note series ; _v418. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781316163757 |
| 999 |
_c516266 _d516264 |
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