Geodesic
The solution of some equation in primes
Čebyševskij sbornik, Tome 25 (2024) no. 4, pp. 5-26

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

The work proves that, under some additional conditions, every sufficiently large integer can be represented as the sum of two prime numbers and the square of a third prime number. A lower bound for the quantity of representation of a given integer in the specified form has also been proven.
Keywords: Dirichlet $L-$function, Dirichlet character, prime numbers, basic intervals, additional intervals, estimate, solvability, non-trivial zeros, exceptional zero.
Mots-clés : equation 
I. Allakov; N. S. Muzropova. The solution of some equation in primes. Čebyševskij sbornik, Tome 25 (2024) no. 4, pp. 5-26. http://geodesic.mathdoc.fr/item/CHEB_2024_25_4_a0/
@article{CHEB_2024_25_4_a0,
     author = {I. Allakov and N. S. Muzropova},
     title = {The solution of some equation in primes},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {5--26},
     year = {2024},
     volume = {25},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2024_25_4_a0/}
}
TY  - JOUR
AU  - I. Allakov
AU  - N. S. Muzropova
TI  - The solution of some equation in primes
JO  - Čebyševskij sbornik
PY  - 2024
SP  - 5
EP  - 26
VL  - 25
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CHEB_2024_25_4_a0/
LA  - ru
ID  - CHEB_2024_25_4_a0
ER  - 
%0 Journal Article
%A I. Allakov
%A N. S. Muzropova
%T The solution of some equation in primes
%J Čebyševskij sbornik
%D 2024
%P 5-26
%V 25
%N 4
%U http://geodesic.mathdoc.fr/item/CHEB_2024_25_4_a0/
%G ru
%F CHEB_2024_25_4_a0