Perfect powers in an alternating sum of consecutive cubes

Authors

Pranabesh Das, University of Waterloo
Pallab Kanti Dey, Indian Statistical Institute (Delhi Centre)
Bibekananda Maji, Indian Institute of Technology Indore
Sudhansu Sekhar Rout, Institute of Mathematics and Applications, Bhubaneswar

Article Type

Research Article

Publication Title

Glasnik Matematicki

Abstract

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 = zp, where p is prime and x,d,z are integers with 1 ≤ d ≤ 50.

First Page

37

Last Page

53

DOI

10.3336/gm.55.1.04

Publication Date

6-1-2020

Comments

Open Access, Green

Recommended Citation

Das, Pranabesh; Dey, Pallab Kanti; Maji, Bibekananda; and Rout, Sudhansu Sekhar, "Perfect powers in an alternating sum of consecutive cubes" (2020). Journal Articles. 255.
https://digitalcommons.isical.ac.in/journal-articles/255