@article{SM_2021_212_4_a7,
author = {K. M. Eminyan},
title = {Hua {Loo-Keng's} problem for primes of a~special form},
journal = {Sbornik. Mathematics},
pages = {592--603},
year = {2021},
volume = {212},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2021_212_4_a7/}
}
K. M. Eminyan. Hua Loo-Keng's problem for primes of a special form. Sbornik. Mathematics, Tome 212 (2021) no. 4, pp. 592-603. http://geodesic.mathdoc.fr/item/SM_2021_212_4_a7/
[1] A. O. Gelfond, “Sur les nombres qui ont des propriétés additives et multiplicatives données”, Acta Arith., 13 (1968), 259–265 | DOI | MR | Zbl
[2] K. M. Èminyan, “On the Dirichlet divisor problem in some sequences of natural numbers”, Math. USSR-Izv., 38:3 (1992), 669–675 | DOI | MR | Zbl
[3] C. Mauduit, J. Rivat, “Sur un problème de Gelfond: la somme des chiffres des nombres premiers”, Ann. of Math. (2), 171:3 (2010), 1591–1646 | DOI | MR | Zbl
[4] K. M. Eminyan, “The Goldbach problem with primes having binary expansions of a special form”, Izv. Math., 78:1 (2014), 201–211 | DOI | DOI | MR | Zbl
[5] K. M. Éminyan, “A nonlinear additive problem with prime numbers of a special form”, Math. Notes, 105:3 (2019), 458–463 | DOI | DOI | MR | Zbl
[6] Loo-keng Hua, “On the representation of numbers as the sum of powers of primes”, Math. Z., 44:1 (1939), 335–346 | DOI | MR | Zbl
[7] I. M. Vinogradov, “Nekotoroe obschee svoistvo raspredeleniya prostykh chisel”, Matem. sb., 7(49):2 (1940), 365–372 | MR | Zbl
[8] Yu. V. Linnik, “Ob odnoi teoreme teorii prostykh chisel”, Dokl. AN SSSR, 47:1 (1945), 7–9 | MR | Zbl
[9] S. A. Gritsenko, “Three additive problems”, Russian Acad. Sci. Izv. Math., 41:3 (1993), 447–464 | DOI | MR | Zbl
[10] M. E. Changa, “Primes in special intervals and additive problems with such numbers”, Math. Notes, 73:3 (2003), 389–401 | DOI | DOI | MR | Zbl
[11] Loo-keng Hua, Additive Primzahltheorie, B. G. Teubner Verlagsgesellschaft, Leipzig, 1959, vi+174 pp. | MR | MR | Zbl | Zbl
[12] A. A. Karatsuba, Basic analytic number theory, Springer-Verlag, Berlin, 1993, xiv+222 pp. | DOI | MR | MR | Zbl
[13] I. M. Vinogradov, The method of trigonometrical sums in the theory of numbers, Interscience Publishers Inc., London–New York, 1954, x+180 pp. | MR | MR | Zbl | Zbl