Geodesic
Estermann's Ternary Problem with Almost Equal Summands
Matematičeskie zametki, Tome 74 (2003) no. 4, pp. 564-572.

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 positive integer N as the sum of two primes and the square of a natural number when they are almost equal. 
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Z. Kh. Rakhmonov. Estermann's Ternary Problem with Almost Equal Summands. Matematičeskie zametki, Tome 74 (2003) no. 4, pp. 564-572. http://geodesic.mathdoc.fr/item/MZM_2003_74_4_a9/

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[2] Rakhmonov Z. Kh., “Srednie znacheniya funktsii Chebysheva v korotkikh intervalakh”, Sovremennye problemy matematiki i mekhaniki, Tr. mezhdunarodnoi konferentsii, posvyaschennoi 175-letiyu P. L. Chebysheva, MGU, M., 1996, 125–189

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[5] Vinogradov I. M., Metod trigonometricheskikh summ v teorii chisel, Nauka, M., 1976

[6] Zhan Tao, “On represention of a large odd integer as a sum of three almost primes”, Acta Math. Sinica, 7:3 (1991), 259–272 | DOI | MR | Zbl