Karin Halupczok  pointed out that we have stated an estimate in  that does not follow as easily as claimed. Although we are unable to obtain the claimed estimate, we prove a good enough estimate to (mostly) recover the theorems claimed in .
"Corrigendum to "Refinements of Goldbach's conjecture, and the Generalized Riemann Hypothesis"." Funct. Approx. Comment. Math. 38 (2) 235 - 237, September 2008. https://doi.org/10.7169/facm/1229696543