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Arithmetic Geometry And Number Theory (Number Theory and Its Applications) [Hardcover]

By Lin Weg
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Item description for Arithmetic Geometry And Number Theory (Number Theory and Its Applications) by Lin Weg...

Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations. More precisely, the goal is to bring the reader to the frontier of current developments in arithmetic geometry and number theory through the works of Deninger-Werner in vector bundles on curves over p-adic fields; of Jiang on local gamma factors in automorphic representations; of Weng on Deligne pairings and Takhtajan-Zograf metrics; of Yoshida on CM-periods; of Yu on transcendence of special values of zetas over finite fields. In addition, the lecture notes presented by Weng at the University of Toronto from October to November 2005 explain basic ideas and the reasons (not just the language and conclusions) behind Langlands' fundamental, yet notably difficult, works on the Eisenstein series and spectral decompositions. And finally, a brand new concept by Weng called the Geometric Arithmetic program that uses algebraic and/or analytic methods, based on geometric considerations, to develop the promising and yet to be cultivated land of global arithmetic that includes non-abelian Class Field Theory, Riemann Hypothesis and non-abelian Zeta and L Functions, etc.



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Item Specifications...


Studio: World Scientific Publishing Company
Pages   412
Est. Packaging Dimensions:   Length: 9.06" Width: 6.14" Height: 1.1"
Weight:   1.63 lbs.
Binding  Hardcover
Release Date   Jun 2, 2006
Publisher   World Scientific Publishing Company
ISBN  981256814X  
ISBN13  9789812568144  


Availability  0 units.


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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > General
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Number Theory
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > General
5Books > Subjects > Science > Mathematics > Geometry & Topology
6Books > Subjects > Science > Mathematics > Popular & Elementary > Arithmetic
7Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > General
8Books > Subjects > Science > Mathematics > Pure Mathematics > Number Theory



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