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- W2322063353 abstract "Throughout this article c 0 , c 1 , c 2 , … will denote effectively computable positive absolute constants. Denote the cardinality of a set X by | X |. Let N be a positive integer and let A and B be non-empty subsets of {1, …,N}. Put In [ 3 ], Balog and Sá;rközy proved that if N > c 0 and (1) then there exist a 0 and b 0 with a 0 ∊ A 0 and b 0 ∊ B 0 and a prime number p such that and (2) If follows from this result that if | A | ≫ N and | B | ≫ N then there exist a in A and b in B and a prime p such that p 2 |( a + b ) with" @default.
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- W2322063353 date "1988-08-01" @default.
- W2322063353 modified "2023-10-04" @default.
- W2322063353 title "On Divisors of Sums of Integers IV" @default.
- W2322063353 doi "https://doi.org/10.4153/cjm-1988-035-3" @default.
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