Perfect powers in an alternating sum of consecutive cubes / Pranabesh Das, Pallab Kanti Dey, Bibekananda Maji, Sudhansu Sekhar Rout.
Sažetak
In this paper, we consider the problem about finding out perfect powers in an alternating sum of consecutive cubes. More precisely, we completely solve the Diophantine equation (x+1) 3 - (x+2) 3 + ∙∙∙ - (x + 2d) 3 + (x + 2d + 1) 3 = z p, where p is prime and x,d,z are integers with 1 ≤ d ≤ 50.
Glasnik matematički : 55,1(2020) / glavni urednik Dražen Adamović.
