Postdoc Seminar

Event Information Title: Perfect powers that are sums of consecutive k-th powers
Starts: 11:00 on Friday November 24, 2017
Ends: 12:00 on Friday November 24, 2017
Location: HU1018, 215 Huron St.
Speaker: Vandita Patel
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Institution: University of Toronto
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Abstract:

Let $k$ be an even integer such that $k$ is at least 2. We give a (natural) density result and show that for almost all $d$ at least 2, the equation $(x+1)^k + (x+2)^k + ... + (x+d)^k = y^n$, with $n$ at least 2, has no integer solutions $(x,y,n)$. In this talk, I will focus on the case $k=2$ and there will be plenty of examples and explicit calculations.

This is joint work with Samir Siksek (University of Warwick, UK)

Background material:

The Postdocs Seminar is a series of informal talks by Postdoctoral fellows. The aim is to learn some basics about each others research areas and to get into contact.