@article{bwmeta1.element.bwnjournal-article-aav83i2p155bwm,
author = {T. P. Peneva and D. I. Tolev},
title = {An additive problem with primes and almost-primes},
journal = {Acta Arithmetica},
volume = {84},
year = {1998},
pages = {155-169},
zbl = {0898.11037},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav83i2p155bwm}
}
T. P. Peneva; D. I. Tolev. An additive problem with primes and almost-primes. Acta Arithmetica, Tome 84 (1998) pp. 155-169. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav83i2p155bwm/
[000] [1] Brüdern J., Fouvry E., Lagrange's Four Squares Theorem with almost prime variables, J. Reine Angew. Math. 454 (1994), 59-96. | Zbl 0809.11060
[001] [2] Davenport H., Multiplicative Number Theory (revised by H. Montgomery), 2nd ed., Springer, 1980. | Zbl 0453.10002
[002] [3] Halberstam H., Richert H.-E., Sieve Methods, Academic Press, London, 1974. | Zbl 0298.10026
[003] [4] Hardy G. H., Wright E. M., An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979. | Zbl 0423.10001
[004] [5] Heath-Brown D. R., Three primes and an almost-prime in arithmetic progression, J. London Math. Soc. (2) 23 (1981), 396-414. | Zbl 0425.10051
[005] [6] Karatsuba A. A., Principles of Analytic Number Theory, Nauka, Moscow, 1983 (in Russian).
[006] [7] Maier H., Pomerance C., Unusually large gaps between consecutive primes, Trans. Amer. Math. Soc. 322 (1990), 201-237. | Zbl 0706.11052
[007] [8] Tolev D. I., On the number of representations of an odd integer as a sum of three primes, one of which belongs to an arithmetic progression, Proc. Steklov Math. Inst., to appear. | Zbl 0911.11048
[008] [9] van der Corput J. G., Über Summen von Primzahlen und Primzahlquadraten, Math. Ann. 116 (1939), 1-50.
[009] [10] Vinogradov I. M., Representation of an odd number as a sum of three primes, Dokl. Akad. Nauk SSSR 15 (1937), 169-172 (in Russian).