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

Andrej Dujella


Puni tekst: engleski pdf 227 Kb

str. 199-205

preuzimanja: 467

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Sažetak

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.

Ključne riječi

Diophantine m-tuples; property D(n); large sieve

Hrčak ID:

1242

URI

https://hrcak.srce.hr/1242

Datum izdavanja:

29.11.2004.

Posjeta: 948 *