Download Abstract...

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts
no text concepts found
Transcript 
Department Colloquium
Speaker: Kevser Aktas, Queen’s University and Selcuk University
Date: Friday, March 27
Time: 2:30 p.m.
Place: Jeffery 234
Title: Consecutive squarefull numbers
Abstract: A number n is called squarefull if for any prime p dividing n, we also have p^2 dividing n.
Erdos conjectured that for any e >0, there are O(N^e) pairs (n, n + 1) with n < N such that both n and
n+1 are squarefull. We will prove this conjecture under the assumption of the abc conjecture.
This is joint work with Prof. Ram Murty.
Related documents