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Results tagged with nt.number-theory
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user 50965
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
2
votes
1
answer
359
views
The Chebotarev Density Theorem and the representation of infinitely many numbers by forms
Let $ax^{2}+bxy+cy^{2}$ be a primitive positive definite quadratic form of discriminant $\Delta<0$. It is well known that $ax^{2}+bxy+cy^{2}$ represents infinitely many prime numbers. One of the proof …
- 71
4
votes
0
answers
143
views
The number of representations of the positive integer $n$ as $a^{2}+b^{2}+p^{2}c^{2}$
Let $n$ be a positive integer and $p$ a prime number. I know that there are formulas by which one can compute the number of representations of $n$ as the sum of two or three squares etc.
I would to k …
- 71