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Results tagged with algebraic-number-theory
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user 26700
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
2
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Elements whose conjugates are of the same absolute value in cyclotomic fields
Let $k$ be an odd rational integer, $p$ a rational prime and $\zeta_p$ a primitive $p$th root of unity. Let $\sigma$ a generator of $Gal(\mathbb{Q}(\zeta_p)/\mathbb{Q})$, i.e., $\sigma(\zeta_p)=\zeta_ …
- 767
2
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1
answer
378
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elements of absolute value one in cyclotomic fields
Let $p$ be a rational prime and $\zeta_p$ a primitive $p$th root of unity.
What do we know about the set $\{z\in\mathbb{Q}(\zeta_p):|z|=1\}$?
- 767