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Results tagged with nt.number-theory
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user 43107
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
4
votes
Normalizer of SL_2(Z) in GL_2(R)
Although it goes far beyond the question as posed (for which other answers provide a variety of elementary solutions), there is a broader context for this number-theoretic question.
The setting inv …
- 1,623
8
votes
equivalence of quadratic forms over finitely generated fields
By "Hasse invariant" I suppose you mean a 2-torsion class in the Brauer group (which can be further analyzed via local Brauer groups, but that step is specific to global fields). And by "signature" yo …
- 1,623
11
votes
Accepted
Variant of Hilbert 90 for Galois extensions
This is an application of Artin's Lemma to reduce to Hilbert 90. Namely, let $K$ be any field at all, and $G$ any finite subgroup of ${\rm{Aut}}(K)$ (as noted in this comments, such finiteness holds …
- 1,623
23
votes
Accepted
Local factors of Hasse-Weil zeta function - what do they have in common?
This is an elaboration on ACL's answer, way too long for a comment, which highlights a technical ingredient (well-known to all experts) that underlies the precise sense in which the $\ell$-adic etale …
- 1,623