摘要

Let k >= 2 be a squarefree integer, and theta = { root-k if -k not equivalent to 1 (mod 4), (root-k+1)/2 if -k equivalent to 1 (mod 4). We prove that the number R(y) of representations of a monic polynomial f (x) is an element of Z[theta][x], of degree d >= 1, as a sum of two monic irreducible polynomials g(x) and h(x) in Z[theta][x], with the coefficients of g(x) and h(x) bounded in modulus by y, is asymptotic to (4y)(2d-2).

  • 出版日期2017

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