GANITA

Event Information Perfect powers that are sums of consecutive like powers: part 1
10:10 on Thursday September 28, 2017
12:00 on Thursday September 28, 2017
HU1012, 215 Huron St.
Vandita Patel

University of Toronto

In this talk, we present some of the techniques used to tackle subfamilies of the Diophantine equation (x+1)^k + (x+2)^k + ... + (x+d)^k = y^n. We compare two very different approaches which naturally arise when considering the parity of k.

In part 1, we find all integer solutions, (x,y,n) to the equation in the case k=3, 1<d<51 (joint work with Mike Bennett - UBC and Samir Siksek - Warwick).