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The Bloch-Kato Conjecture for the Riemann Zeta Function (Paperback)
Loot Price: R1,754
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The Bloch-Kato Conjecture for the Riemann Zeta Function (Paperback)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 12 - 19 working days
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There 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.
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