论文标题
主要变量的二次形式，较小的偏高等级
Quadratic Forms in Prime Variables with small off-diagonal ranks
论文作者
论文摘要
本注释的主要目标是建立Zhao的技术的限制，以计算解决方案中二次形式的素数。 Zhao考虑了至少9个等级的形式，并表明这些方程在素数中具有解决方案，前提是没有局部障碍。我们详细考虑了非对角线等级1和2的退化案例，并将等级的下限分别提高到至少6和至少8个。这些结果补充了绿色在非脱位等级8案例上的突破。
The main goal of this note is to establish the limits of L. Zhao's techniques for counting solutions to quadratic forms in prime variables. Zhao considered forms with rank at least 9, and showed that these equations have solutions in primes provided there are no local obstructions. We consider in detail the degenerate cases of off-diagonal rank 1 and 2, and improve the rank lower bounds to at least 6 and at least 8 respectively. These results complement a recent breakthrough of Green on the non-degenerate rank 8 case.
