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Results tagged with nt.number-theory
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user 1169
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
0
votes
A question on function fields (extending my previous question)
Here are my comments to some of the suggestions and answers:
(1) I dont quite know some of the facts (theorems, formulas, definitions) mentioned
in FC's answer in order to mimic his answer in this c …
- 161
11
votes
1
answer
705
views
a question on function fields
Consider the transcendental extension Q(t) of the field of rationals.
To Q(t) adjoin the root of the polynomial x^5+t^5=1. The resulting
field Q(t)[x] is a radical extension of Q(t). Is it true that …
- 161
2
votes
4
answers
615
views
A question on function fields (extending my previous question)
Consider the extension $\mathbb Q(a,b)$ of the field of rationals, where $a$, $b$ are algebraically independent transcendentals. To $\mathbb Q(a,b)$ adjoin the roots of the polynomials $x^5+a^5=1$ and …
- 161