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math.NT2022
The Exceptional Set in Goldbach's Problem with Almost Twin Primes
Lasse Grimmelt, Joni Teräväinen
We consider the exceptional set in the binary Goldbach problem for sums of two almost twin primes. Our main result is a power-saving bound for the exceptional set in the problem of…
math.NT2022★ 1 cited
Representation of Squares by Nonsingular Cubic Forms
Lasse Grimmelt, Will Sawin
We prove an asymptotic formula for the number of representations of squares by nonsingular cubic forms in six or more variables. The main ingredients of the proof are Heath-Brown's…