科研之友
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摘要
Let F be a family of r integral forms of degree k >= 2 and L = (l(1),..., l(m)) be a family of pairwise linearly independent linear forms in n variables x = (x(1),..., x(n)). We study the number of solutions x is an element of [1, N](n) to the diophantine system F(x) = v under the restriction that l(i)(x) has a bounded number of prime factors for each 1 <= i <= m. We show that the system F that has the expected number of such "almost prime" solutions under similar conditions was established for existence of integer solutions by Birch.
- 出版日期2017-7
