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math.NT2020★ 8 cited
D(n)-quintuples with square elements
Andrej Dujella, Matija Kazalicki, Vinko Petričević
For an integer n, a set of m distinct nonzero integers {a_1,a_2,...,a_m} such that a_i a_j+n is a perfect square for all 0<i<j<m+1, is called a D(n)-m-tuple. In this paper, we show…
math.NT2020★ 10 cited
Doubly regular Diophantine quadruples
Andrej Dujella, Vinko Petričević
For a nonzero integer n, a set of m distinct nonzero integers {a_1,a_2,...,a_m} such that a_i a_j + n is a perfect square for all 1 <= i < j <= m, is called a D(n)-m-tuple. In this…