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number > number theory > analytic number theory > Bateman-Horn conjecture

Preferred term

Bateman-Horn conjecture  

Definition

  • In number theory, the Bateman–Horn conjecture is a statement concerning the frequency of prime numbers among the values of a system of polynomials, named after mathematicians Paul T. Bateman and Roger A. Horn who proposed it in 1962. It provides a vast generalization of such conjectures as the Hardy and Littlewood conjecture on the density of twin primes or their conjecture on primes of the form n2 + 1; it is also a strengthening of Schinzel's hypothesis H.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Bateman%E2%80%93Horn_conjecture)

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http://data.loterre.fr/ark:/67375/PSR-WGCW2KGP-4

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