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Weil's Conjecture for Function Fields
Language: en
Pages: 321
Authors: Dennis Gaitsgory
Categories: Mathematics
Type: BOOK - Published: 2019-02-19 - Publisher: Princeton University Press

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A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of vario
Number Theory in Function Fields
Language: en
Pages: 355
Authors: Michael Rosen
Categories: Mathematics
Type: BOOK - Published: 2013-04-18 - Publisher: Springer Science & Business Media

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Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite fie
Weil's Conjecture for Function Fields
Language: en
Pages: 320
Authors: Dennis Gaitsgory
Categories: Mathematics
Type: BOOK - Published: 2019-02-19 - Publisher: Princeton University Press

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A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of vario
Zeta and L-Functions of Varieties and Motives
Language: en
Pages: 217
Authors: Bruno Kahn
Categories: Mathematics
Type: BOOK - Published: 2020-05-07 - Publisher: Cambridge University Press

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The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on
Etale Cohomology and the Weil Conjecture
Language: en
Pages: 336
Authors: Eberhard Freitag
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof of the Weil conjec tures.