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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
7
votes
When adding several $\sqrt[n]{p}$ to the rational numbers, what is the degree of field exten...
Yes, this statement, as well as obvious extensions for more primes, are true. For $m,n$ relatively prime, this follows as an easy application of the Tower Law. For $n=m=2$, more generally for an arbit …