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math.NT2021
On power values of pyramidal numbers, II
Andrej Dujella, Kálmán Győry, Philippe Michaud-Jacobs +1
For , we define the th order pyramidal number by \[ \mathrm{Pyr}_m(x) = \frac{1}{6} x(x+1)((m-2)x+5-m). \] In a previous paper, written by the first-, second-, and fou…
math.NT2021★ 3 cited
On elliptic curves induced by rational Diophantine quadruples
Andrej Dujella, Gökhan Soydan
In this paper, we consider elliptic curves induced by rational Diophantine quadruples, i.e. sets of four nonzero rationals such that the product of any two of them plus 1 is a perf…