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The Multidimensional Bateman Horn Conjecture: Effective Estimates for the Tail of the Singular Series and an Algorithm for Computation with Guaranteed Accuracy
We propose a method for computing the leading term of the asymptotics of the multidimensional Bateman Horn conjecture for systems of integer polynomials in several variables with controlled relative accuracy. The Bateman Horn conjecture is used as an explicit assumption about the growth rate of the
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