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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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/
@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},
     year = {2007},
     volume = {81},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_2_a3/}
}
TY  - JOUR
AU  - S. A. Gritsenko
TI  - Goldbach's Ternary Problem Involving Prime Numbers Expressible by Given Quadratic Forms
JO  - Matematičeskie zametki
PY  - 2007
SP  - 193
EP  - 204
VL  - 81
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MZM_2007_81_2_a3/
LA  - ru
ID  - MZM_2007_81_2_a3
ER  - 
%0 Journal Article
%A S. A. Gritsenko
%T Goldbach's Ternary Problem Involving Prime Numbers Expressible by Given Quadratic Forms
%J Matematičeskie zametki
%D 2007
%P 193-204
%V 81
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_2007_81_2_a3/
%G ru
%F MZM_2007_81_2_a3

[1] Z. I. Borevich, I. R. Shafarevich, Teoriya chisel, Nauka, M., 1985 | MR | Zbl

[2] S. A. Gritsenko, “O funktsionalnom uravnenii odnogo arifmeticheskogo ryada Dirikhle”, Chebyshevskii sb., 4:2 (2003), 55–67 | MR | Zbl

[3] S. A. Gritsenko, “O raspredelenii norm prostykh idealov iz zadannogo klassa v arifmeticheskikh progressiyakh”, Zapiski nauch. sem. POMI, 322, 2005, 45–62 | MR | Zbl

[4] S. A. Gritsenko, “Otsenka lineinoi trigonometricheskoi summy po prostym chislam, predstavimym zadannoi kvadratichnoi formoi”, Chebyshevskii sb., 5:4 (2005), 82–87 | MR

[5] A. A. Karatsuba, Osnovy analiticheskoi teorii chisel, Nauka, M., 1983 | MR | Zbl