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Results tagged with nt.number-theory
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user 54483
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
4
votes
Is the following sum irrational?
Unfortunately (or not), this is still an open problem. Actually, problems involving product of $\pi$ by transcendental numbers seem to be out of reach. A typical one is due to Nesterenko involving alg …
0
votes
0
answers
302
views
Relations among the height of algebraic numbers
I would like to find effective upper bound for the height of a-b in terms of the heights of a and b. Thanks in advance. Here the height of an algebraic number a is the maximum of the absolute values o …