Geodesic
Goldbach's Ternary Problem Involving Prime Numbers Expressible by Given Quadratic Forms
Matematičeskie zametki, Tome 81 (2007) no. 2, pp. 193-204

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In this paper, we solve Goldbach's ternary problem involving primes expressible by given primitive positive definite binary quadratic forms whose discriminants coincide with the discriminants of imaginary quadratic fields in which quadratic forms split into linear multipliers.
Keywords: Goldbach's ternary problem, binary quadratic form, imaginary quadratic field, arithmetic progression, simple ideal, Dirichlet series. 
@article{MZM_2007_81_2_a3,
     author = {S. A. Gritsenko},
     title = {Goldbach's {Ternary} {Problem} {Involving} {Prime} {Numbers} {Expressible} by {Given} {Quadratic} {Forms}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {193--204},
     publisher = {mathdoc},
     volume = {81},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_2_a3/}
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S. A. Gritsenko. Goldbach's Ternary Problem Involving Prime Numbers Expressible by Given Quadratic Forms. Matematičeskie zametki, Tome 81 (2007) no. 2, pp. 193-204. http://geodesic.mathdoc.fr/item/MZM_2007_81_2_a3/