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Results tagged with nt.number-theory
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user 117781
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
1
vote
How to show that the following function isn't a polynomial over Q?
"If $f(x)$ were defined as $(x−b_1) + (x−b_1)(x−b_2) + …,$ then this question is not so hard."
Does taking the derivative of the given function get you to this simpler case?
"At any particula …
- 129
1
vote
Subsets of the integers which are closed under multiplication
To make Mark Sapir's answer more explicit, we can take the direct product of sets obtained from your second example. For instance, we can take $S = \{ x: \exists a \in A, b \in B: x =ab\}$ where $A = …
- 129