Geodesic
The solution of some equation in primes
Čebyševskij sbornik, Tome 25 (2024) no. 4, pp. 5-26 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 
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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/