Bounds for the size of sets with the property D(n)

Details Bounds for the size of sets with the property D(n) Bounds for the size of sets with the property D(n)

2003-04-17

arxiv.org/abs/math/0304242v2

Glas. Mat. Ser. III 39 (2004), 199-205.

Mathematics

Number Theory

9 pages. Revised - removed a gap in the proof of Proposition 1; to appear in Glasnik Matematicki

Scientific paper

Let n be a nonzero integer and a_1 < a_2 < ... that a_i*a_j + 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.

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