All kinds of mathematics
remind me of you
Lisbon, 24-27 July 2017
SEE YOU THERE!!
Conference poster

Peter Cameron's homepage

Welcome to my St Andrews homepage. Under construction This page is under construction (and probably always will be!)

I am a half-time Professor in the School of Mathematics and Statistics at the University of St Andrews, and an Emeritus Professor of Mathematics at Queen Mary, University of London.

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School of Mathematics and Statistics
University of St Andrews
North Haugh
St Andrews, Fife KY16 9SS
SCOTLAND
Tel.: +44 (0)1334 463769
Fax: +44 (0)1334 46 3748
Email: pjc20(at)st-arthurs(dot)ac(dot)uk
  [oops – wrong saint!]





Page revised 19 April 2017

A problem

A set S of natural numbers is sum-free if it contains no solution {x,y,z} to x+y = z.

We can choose a random sum-free set as follows: Consider the natural numbers in turn. When considering n, if n is the sum of two members of S, then n is not in S; otherwise decide whether to put n in S by tossing a fair coin.

A little is known, but much is not. Let S be a random sum-free set.

Old problems are kept here.