References
A. Balog, On additive representation of integers,Acta Math. Hungar.,54 (1989), 297–301.
A. Balog and A. Sárközy, On sums of integers having small prime factors I, IIStudia Sci. Math. Hungar.,19 (1984), 35–47 and 81–88.
A. Balog and A. Sárközy, On sums of sequences of integers, I, II, III,Acta Arithmetica,44 (1984), 73–86,Acta Math. Hungar.,44 (1984), 169–179 and 339–349.
N. G. de Bruijn, On the number of positive integers ≦x and free of prime factors >y, Nederl. Akad. Wetensch. Proc. Ser. A 54 13 (1951), 50–60; II Ibid, Ser A 69 28 (1966), 239–247.
P. Erdős and R. L. Graham, Old and new problems and results in combinatorial number theory,L'Enseignement Mathématique (1980).
A. Fujii, An additive problem in theory of numbers,Acta Arithmetica,40 (1981), 41–49.
K. Győry, C. L. Stewart and R. Tijdeman, On prime factors of sums of integers, I,Compositio Mathematica,59 (1986), 81–88.
A. Hildebrand, On the number of positive integers ≦x and free of prime factors >y, J. Number Theory,22 (1986), 289–307.
H. L. Montgomery, The analytic principle of the large sieve,Bull. Amer. Math. Soc.,84 (1978), 547–567.
I. Z. Ruzsa, Large prime factors of sums,Studia Sci. Hungar.,27 (1992), 463–470.
G. N. Sárközy, On a problem of P. Erdős,Acta Math. Hungar.,60 (1992), 271–282.
C. L. Stewart and R. Tijdeman, On prime factors of sums of integers, II, in: J.H. Loxton and A.J. van der Poorten (Eds.),Diophantine Analysis, Cambridge University Press.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sárközy, G.N. On sums with small prime factors. Acta Math Hung 67, 333–345 (1995). https://doi.org/10.1007/BF01874496
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01874496