Arithmetic Geometry And Number Theory (Number Theory and Its Applications) free ebook download.

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Arithmetic Geometry And Number Theory (Number Theory and Its Applications) free ebook download

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Mathematics

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Author(s):	Lin Weng

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	981256814X
Pages:	412	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	6/16/2022 2:14:18 PM

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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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3128843	Book	https://florenfile.com/ssxzv3b9bey1/9812...		0.00	alex21s

Tags: Applications Arithmetic Geometry Number Theory

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