Geodesic
The Estermann Cubic Problem with Almost Equal Summands
Matematičeskie zametki, Tome 95 (2014) no. 3, pp. 445-456.

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

We prove an asymptotic formula for the number of representations of a sufficiently large natural number $N$ as the sum of two primes $p_1$ and $p_2$ and the cube of a natural number $m$ satisfying the conditions $|p_i-N/3|\le H$, $|m^3-N/3|\le H$, $H\ge N^{5/6}\mathscr L^{10}$.
Keywords: Estermann cubic problem, Weyl sum, Hua estimate, rational trigonometric sum
Mots-clés : prime, Poisson summation formula. 
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Z. Kh. Rakhmonov. The Estermann Cubic Problem with Almost Equal Summands. Matematičeskie zametki, Tome 95 (2014) no. 3, pp. 445-456. http://geodesic.mathdoc.fr/item/MZM_2014_95_3_a10/

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