Karin Halupczok

collaborators

2 papers

math.NT2008

On the ternary Goldbach problem with primes in independent arithmetic progressions

Karin Halupczok

We show that for every fixed $A > 0$ and $θ > 0$ there is a $ϑ = ϑ (A, θ) > 0$ with the following property. Let $n$ be odd and sufficiently large, and let $Q_{1}=Q_{2}:=n^{\h…

math.NT2007

On the ternary Goldbach problem with primes in arithmetic progressions of a common module

Karin Halupczok

For A,epsilon>0 and any sufficiently large odd n we show that for almost all k up to n^{1/5-epsilon} there exists a representation n=p1+p2+p3 with primes in residue classes b1,b2,b…