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Results tagged with nt.number-theory
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user 501020
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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On quadratic Diophantine equations with n variables
Consider the following problem. Given a quadratic equation
$$ \sum_{i,j=1}^n a_{i,j} x_ix_j + \sum_{k=1}^n d_{k} x_k + e = 0, \qquad a_{i,j},d_k,e\in\mathbb{Z}$$
if it exists, find (at least) a intege …
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