Six primes and an almost prime in four linear equations

Canadian Journal of Mathematics

Volumn 50, Issue 3, 1998, Pages 465-486

  Balog, Antal ^a,b  

^a Mathematical Institute   (Hungary)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032375082     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-1998-025-1     Document Type: Article

References (9)

1. A. Balog, The prime k-tuplets conjecture on average. Analytic Number Theory, (eds. B. Brendt, H. G. Diamond, H. Halberstam and A. Hildebrand), Birkhauser, 1990, 47-75.
2. _, Linear equations in primes. Mathematika 39(1992), 367-378.
3. A. Balog and J. Brüdern, Sums of three cubes in three linked three-progressions. J. Reine Angew. Math. 466(1995), 45-85.
4. J.-R. Chen, On the representation of a large even integer as the sum of a prime and a product of at most two primes. Sci. Sinica 16(1973), 157-176.
5. H. Halberstam and H. E. Richert, Sieve methods. Academic Press, London, 1974.
6. D. R. Heath-Brown, Three primes and an almost-prime in arithmetic progression. J. London Math. Soc. (2) 23(1981), 396-414.
7. H. Iwaniec, Primes of the type φ(x,y)+A. where φ is a quadratic form. Acta Arith. 21(1972), 203-234.
8. A. F. Lavrik, On the theory of distribution of primes based on I. M. Vinogradov's method of trigonometric sums. Trudy Mat. Inst. Steklov 64(1961), 90-125.
9. J. G. van der Corput, Über Summen von Primzahlen und Primzahlquadraten. Math. Ann. 116 (1939), 1-50.