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Results tagged with algebraic-number-theory
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user 8857
Algebraic number fields, Algebraic integers, Arithmetic Geometry, Elliptic Curves, Function fields, Local fields, Arithmetic groups, Automorphic forms, zeta functions, $L$-functions, Quadratic forms, Quaternion algebras, Homogenous forms, Class groups, Units, Galois theory, Group cohomology, Étale cohomology, Motives, Class field theory, Iwasawa theory, Modular curves, Shimura varieties, Jacobian varieties, Moduli spaces
4
votes
Examples of Using Class Field Theory
In the London proceedings (Cassels-Froehlich), Tate and Serre have written some (classical) exercises regarding CFT (i.e. deducing higher reciprocity laws from Artin's reciprocity law, the Hasse-Minko …
- 2,459
1
vote
Some puzzles about the three conditions in a paper of D.Berend
For a start, I guess that one should be very familiar of the proofs of Furstenberg's diophantine result, as this paper generalizes this theorem.
Secondly, it might be of interest that Zhiren Wang in h …
- 2,459
4
votes
Connection between quadratic forms and ideal class group
A very thorough (although a bit dense) modern treatment is given in the article of Einsiedler, Lindenstrauss, Michel and Venkatesh about the ergodic theoretical proof of Duke's theorem (which is not u …
- 2,459