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Results tagged with nt.number-theory
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user 69480
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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Can Davenport's estimate be extended to cubic polynomials with non-zero discriminant?
In 1961 Davenport showed that $H$ large enough there is a constant $c > 0$ such that
$$
\sum \lvert D(P) \rvert^{-1/2} < c H^2
$$
where the sum is taken over the irreducible polynomials of degree $3$ …
