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Results tagged with nt.number-theory
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user 526087
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
3
votes
Accepted
Refinement of a theorem of Koblitz-Ogus
We need the result you mention in work we're currently doing together with Heidi Goodson and my PhD student Andrea Gallese. We've also been unable to locate this precise result anywhere in Kubert's pa …
- 341
12
votes
Accepted
Rational points on an analytic curve
Note that the results of (Bombieri-)Pila-Wilkie only tell you that there are "few" rational points when you count them by looking at their height. If you ignore this aspect, very little can be said: i …
- 341
6
votes
Finding rational points on intersection of quadrics in affine 3-space
The closure in $\mathbb{P}^3$ of the intersection of your two quadrics is a smooth curve of genus $1$. If it has a rational point, it acquires the structure of an elliptic curve, and we know that dete …
- 341