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Unique representation d=4k(k^2-1) in D(4)-quadruples {k-2,k+2,4k,d}

Y. Fujita


Puni tekst: engleski pdf 147 Kb

str. 69-81

preuzimanja: 1.038

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Sažetak

Let k ≥ 3 be an integer. We show that if d is a positive integer such that the product of any two distinct elements of the set
{k-2,k+2,4k,d} increased by 4 is a square, then d must be
4k(k^2-1).

Ključne riječi

Diphantine tuples; simultaneous Diophantine equations

Hrčak ID:

4178

URI

https://hrcak.srce.hr/4178

Datum izdavanja:

20.7.2006.

Posjeta: 1.521 *