两个素数和一个素数平方的实线性组合的值

The Values of Additive Forms with Two Primes and One Prime Square

令λ_(1),λ_(2),λ_(3)是不全同号的非零实数且λ_(2)/λ_(3)是无理数.本文证明了在某些具体条件下,两个素数和一个素数平方的实线性组合,即λ_(1)p_(1)+λ_(2)p_(2)+λ_(3)p_(3)^(2)可以任意地逼近任何实数.

Letλ_(1),λ_(2),λ_(3)be non-zero real numbers which are not all of the same sign andλ_(2)/λ_(3)irrational.In this paper,we prove that the values taken by real linear combinations of two primes and one prime square,i.e.,λ_(1)p_(1)+λ_(2)p_(2)+λ_(3)p_(3)^(2)can be arbitrarily close to any real number.