Glasnik matematički, Vol. 39 No. 2, 2004.
Original scientific paper
Bounds for the size of sets with the property D(n)
Andrej Dujella
Abstract
Let n be a nonzero integer and a1 < a2 < ... < am positive integers such that aiaj + n is a perfect square for all 1 ≤ i < j ≤ m. It is known that m ≤ 5 for n = 1. In this paper we prove that m ≤ 31 for |n| ≤ 400 and m < 15.476 log|n| for |n| > 400.
Keywords
Diophantine m-tuples; property D(n); large sieve
Hrčak ID:
1242
URI
Publication date:
29.11.2004.
Visits: 963 *