New bound on multiple Gauss sums used to prove that nonsingular polynomial systems F(x)=0 have prime solutions when s is at least D squared times 4 to the D+2 times R to the fifth.
Yamagishi, Diophantine equations in primes: Density of prime points on affine hypersurfaces, Duke Math
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Multiple Gauss sums
New bound on multiple Gauss sums used to prove that nonsingular polynomial systems F(x)=0 have prime solutions when s is at least D squared times 4 to the D+2 times R to the fifth.