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Results tagged with algebraic-number-theory
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user 56878
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
6
votes
The integral closure $\overline{\mathbb{Z}}$ and the group $\overline{\mathbb{Z}}^{\times}$
I think we can describe $P$ a bit more, using Dirichlet’s unit theorem.
Since $\overline{\mathbf{Z}} = \varinjlim_{[K:\mathbf{Q}] < \infty} \mathcal{O}_K$, the same is true for the units. Now Dirichle …
- 3,058
1
vote
Sato-Tate and the angles of split primes
You can see pretty easily that the angle Großencharacter appearing in Hecke's equidistribution theorem cannot arise as the Großencharacter associated to a CM elliptic curve just by thinking about $\in …
- 3,058